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155564046 = 232111495273
BaseRepresentation
bin10010100010110…
…11100000001110
3101211201110202100
421101123200032
5304311022141
623234135530
73566162331
oct1121334016
9354643670
10155564046
117a8a2630
12441215a6
13262c9641
1416936618
15d9cd0b6
hex945b80e

155564046 has 48 divisors (see below), whose sum is σ = 370234800. Its totient is φ = 46815360.

The previous prime is 155564029. The next prime is 155564047. The reversal of 155564046 is 640465551.

155564046 is a `hidden beast` number, since 1 + 5 + 5 + 5 + 640 + 4 + 6 = 666.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 155564046.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (155564047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26866 + ... + 32138.

It is an arithmetic number, because the mean of its divisors is an integer number (7713225).

Almost surely, 2155564046 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 155564046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185117400).

155564046 is an abundant number, since it is smaller than the sum of its proper divisors (214670754).

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

155564046 is a wasteful number, since it uses less digits than its factorization.

155564046 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5441 (or 5438 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 155564046 is about 12472.5316596111. The cubic root of 155564046 is about 537.8193333013.

The spelling of 155564046 in words is "one hundred fifty-five million, five hundred sixty-four thousand, forty-six".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 149 198 298 447 894 1341 1639 2682 3278 4917 5273 9834 10546 14751 15819 29502 31638 47457 58003 94914 116006 174009 348018 522027 785677 1044054 1571354 2357031 4714062 7071093 8642447 14142186 17284894 25927341 51854682 77782023 155564046