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155944272 = 243112631123
BaseRepresentation
bin10010100101110…
…00010101010000
3101212102210022210
421102320111100
5304410204042
623250232120
73602335011
oct1122702520
9355383283
10155944272
1180032270
1244285640
1326400723
14169d5008
15da55a9c
hex94b8550

155944272 has 80 divisors (see below), whose sum is σ = 441543168. Its totient is φ = 47034240.

The previous prime is 155944241. The next prime is 155944277. The reversal of 155944272 is 272449551.

It is a self number, because there is not a number n which added to its sum of digits gives 155944272.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (155944277) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 138303 + ... + 139425.

Almost surely, 2155944272 is an apocalyptic number.

155944272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 155944272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220771584).

155944272 is an abundant number, since it is smaller than the sum of its proper divisors (285598896).

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

155944272 is a wasteful number, since it uses less digits than its factorization.

155944272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1408 (or 1402 counting only the distinct ones).

The product of its digits is 100800, while the sum is 39.

The square root of 155944272 is about 12487.7648920854. The cubic root of 155944272 is about 538.2571519348.

The spelling of 155944272 in words is "one hundred fifty-five million, nine hundred forty-four thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 263 264 526 528 789 1052 1123 1578 2104 2246 2893 3156 3369 4208 4492 5786 6312 6738 8679 8984 11572 12353 12624 13476 17358 17968 23144 24706 26952 34716 37059 46288 49412 53904 69432 74118 98824 138864 148236 197648 295349 296472 590698 592944 886047 1181396 1772094 2362792 3248839 3544188 4725584 6497678 7088376 9746517 12995356 14176752 19493034 25990712 38986068 51981424 77972136 155944272