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155506956 = 2231117232131
BaseRepresentation
bin10010100010011…
…01100100001100
3101211121120102220
421101031210030
5304302210311
623233015340
73565534023
oct1121154414
9354546386
10155506956
117a863750
12440b4550
13262a9667
141691d8ba
15d9bb206
hex944d90c

155506956 has 144 divisors (see below), whose sum is σ = 441479808. Its totient is φ = 42099200.

The previous prime is 155506951. The next prime is 155506957. The reversal of 155506956 is 659605551.

It is not an unprimeable number, because it can be changed into a prime (155506951) 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 47 ways as a sum of consecutive naturals, for example, 1187011 + ... + 1187141.

It is an arithmetic number, because the mean of its divisors is an integer number (3065832).

Almost surely, 2155506956 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 155506956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220739904).

155506956 is an abundant number, since it is smaller than the sum of its proper divisors (285972852).

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

155506956 is a wasteful number, since it uses less digits than its factorization.

155506956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 202500, while the sum is 42.

The square root of 155506956 is about 12470.2428204105. The cubic root of 155506956 is about 537.7535343302.

The spelling of 155506956 in words is "one hundred fifty-five million, five hundred six thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 11 12 17 22 23 33 34 44 46 51 66 68 69 92 102 131 132 138 187 204 253 262 276 374 391 393 506 524 529 561 748 759 782 786 1012 1058 1122 1173 1441 1518 1564 1572 1587 2116 2227 2244 2346 2882 3013 3036 3174 4301 4323 4454 4692 5764 5819 6026 6348 6681 8602 8646 8908 8993 9039 11638 12052 12903 13362 17204 17292 17457 17986 18078 23276 24497 25806 26724 26979 33143 34914 35972 36156 48994 51221 51612 53958 66286 69299 69828 73491 97988 98923 99429 102442 107916 132572 138598 146982 153663 197846 198858 204884 207897 277196 293964 296769 307326 395692 397716 415794 563431 593538 614652 762289 831588 1126862 1178083 1187076 1524578 1690293 2253724 2286867 2356166 3049156 3380586 3534249 4573734 4712332 6761172 7068498 9147468 12958913 14136996 25917826 38876739 51835652 77753478 155506956