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157538844 = 2235612657
BaseRepresentation
bin10010110001111…
…01101000011100
3101222102210200000
421120331220130
5310312220334
623344334300
73622025631
oct1130755034
9358383600
10157538844
1180a212a1
1244914390
132683b468
1416ccc188
15dc6d299
hex963da1c

157538844 has 72 divisors (see below), whose sum is σ = 419900208. Its totient is φ = 51632640.

The previous prime is 157538839. The next prime is 157538863. The reversal of 157538844 is 448835751.

157538844 is a `hidden beast` number, since 1 + 575 + 38 + 8 + 44 = 666.

157538844 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 157538844.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57964 + ... + 60620.

Almost surely, 2157538844 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 157538844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209950104).

157538844 is an abundant number, since it is smaller than the sum of its proper divisors (262361364).

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

157538844 is a wasteful number, since it uses less digits than its factorization.

157538844 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2737 (or 2723 counting only the distinct ones).

The product of its digits is 537600, while the sum is 45.

The square root of 157538844 is about 12551.4478846068. The cubic root of 157538844 is about 540.0855420040.

The spelling of 157538844 in words is "one hundred fifty-seven million, five hundred thirty-eight thousand, eight hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 61 81 108 122 162 183 243 244 324 366 486 549 732 972 1098 1647 2196 2657 3294 4941 5314 6588 7971 9882 10628 14823 15942 19764 23913 29646 31884 47826 59292 71739 95652 143478 162077 215217 286956 324154 430434 486231 645651 648308 860868 972462 1291302 1458693 1944924 2582604 2917386 4376079 5834772 8752158 13128237 17504316 26256474 39384711 52512948 78769422 157538844