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148 (number)

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Natural number
← 147 148 149 →
140 141 142 143 144 145 146 147 148 149 0 100 200 300 400 500 600 700 800 900
Cardinalone hundred forty-eight
Ordinal148th
(one hundred forty-eighth)
Factorization2 × 37
Divisors1, 2, 4, 37, 74, 148
Greek numeralΡΜΗ´
Roman numeralCXLVIII, cxlviii
Binary100101002
Ternary121113
Senary4046
Octal2248
Duodecimal10412
Hexadecimal9416

148 (one hundred forty-eight) is the natural number following 147 and before 149.

In mathematics

148 is the second number to be both a heptagonal number and a centered heptagonal number (the first is 1). It is the twelfth member of the Mian–Chowla sequence, the lexicographically smallest sequence of distinct positive integers with distinct pairwise sums.

There are 148 perfect graphs with six vertices, and 148 ways of partitioning four people into subsets, ordering the subsets, and selecting a leader for each subset.

In other fields

Dunbar's number is a theoretical cognitive limit to the number of people with whom one can maintain stable interpersonal relationships. Dunbar predicted a "mean group size" of 148, but this is commonly rounded to 150.

References

  1. Sloane, N. J. A. (ed.). "Sequence A128919 (Numbers simultaneously heptagonal and centered heptagonal)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  2. Sloane, N. J. A. (ed.). "Sequence A005282 (Mian-Chowla sequence)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  3. Sloane, N. J. A. (ed.). "Sequence A052431 (Number of perfect simple undirected graphs on n nodes)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  4. Sloane, N. J. A. (ed.). "Sequence A006153 (E.g.f.: 1/(1-x*exp(x)))". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  5. Dunbar, R. I. M. (1997). "Groups, Gossip, and the Evolution of Language". In Schmitt, Alain; Atzwanger, Klaus; Grammer, Karl; Schäfer, Katrin (eds.). New Aspects of Human Ethology. Kluwer Academic Publishers. pp. 77–89. doi:10.1007/978-0-585-34289-4_5. ISBN 978-0-306-45695-4.
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