Search a number
-
+
157907556 = 223419113227
BaseRepresentation
bin10010110100101…
…11101001100100
3102000010112110000
421122113221210
5310411020211
623400301300
73625122612
oct1132275144
9360115400
10157907556
1181153314
1244a71830
132693a231
1416d866b2
15dce2656
hex9697a64

157907556 has 120 divisors (see below), whose sum is σ = 440304480. Its totient is φ = 49206528.

The previous prime is 157907507. The next prime is 157907591. The reversal of 157907556 is 655709751.

It is a happy number.

157907556 is a `hidden beast` number, since 1 + 5 + 7 + 90 + 7 + 556 = 666.

157907556 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 695515 + ... + 695741.

It is an arithmetic number, because the mean of its divisors is an integer number (3669204).

Almost surely, 2157907556 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 157907556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220152240).

157907556 is an abundant number, since it is smaller than the sum of its proper divisors (282396924).

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

157907556 is a wasteful number, since it uses less digits than its factorization.

157907556 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 330750, while the sum is 45.

The square root of 157907556 is about 12566.1273270646. The cubic root of 157907556 is about 540.5065616945.

The spelling of 157907556 in words is "one hundred fifty-seven million, nine hundred seven thousand, five hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 81 108 113 114 162 171 226 227 228 324 339 342 452 454 513 678 681 684 908 1017 1026 1356 1362 1539 2034 2043 2052 2147 2724 3051 3078 4068 4086 4294 4313 6102 6129 6156 6441 8172 8588 8626 9153 12204 12258 12882 12939 17252 18306 18387 19323 24516 25651 25764 25878 36612 36774 38646 38817 51302 51756 57969 73548 76953 77292 77634 102604 115938 116451 153906 155268 173907 230859 231876 232902 307812 347814 349353 461718 465804 487369 692577 695628 698706 923436 974738 1385154 1397412 1462107 1949476 2077731 2770308 2924214 4155462 4386321 5848428 8310924 8772642 13158963 17545284 26317926 39476889 52635852 78953778 157907556