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155268456 = 23372196949
BaseRepresentation
bin10010100000100…
…11010101101000
3101211011110021120
421100103111220
5304222042311
623223535240
73563521500
oct1120232550
9354143246
10155268456
117a710542
1243bba520
1326224c35
141689aa00
15d970706
hex9413568

155268456 has 96 divisors (see below), whose sum is σ = 475380000. Its totient is φ = 42021504.

The previous prime is 155268431. The next prime is 155268461. The reversal of 155268456 is 654862551.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18870 + ... + 25818.

It is an arithmetic number, because the mean of its divisors is an integer number (4951875).

Almost surely, 2155268456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 155268456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237690000).

155268456 is an abundant number, since it is smaller than the sum of its proper divisors (320111544).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

155268456 is a wasteful number, since it uses less digits than its factorization.

155268456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6991 (or 6980 counting only the distinct ones).

The product of its digits is 288000, while the sum is 42.

The square root of 155268456 is about 12460.6763861357. The cubic root of 155268456 is about 537.4784773066.

The spelling of 155268456 in words is "one hundred fifty-five million, two hundred sixty-eight thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 19 21 24 28 38 42 49 56 57 76 84 98 114 133 147 152 168 196 228 266 294 392 399 456 532 588 798 931 1064 1176 1596 1862 2793 3192 3724 5586 6949 7448 11172 13898 20847 22344 27796 41694 48643 55592 83388 97286 132031 145929 166776 194572 264062 291858 340501 389144 396093 528124 583716 681002 792186 924217 1021503 1056248 1167432 1362004 1584372 1848434 2043006 2724008 2772651 3168744 3696868 4086012 5545302 6469519 7393736 8172024 11090604 12939038 19408557 22181208 25878076 38817114 51756152 77634228 155268456