Search a number
-
+
157064508 = 223661883
BaseRepresentation
bin10010101110010…
…01110100111100
3101221112201000000
421113021310330
5310202031013
623330234300
73615012006
oct1127116474
9357481000
10157064508
1180727987
1244725990
13267035a3
1416c07376
15dbc7973
hex95c9d3c

157064508 has 84 divisors (see below), whose sum is σ = 419336008. Its totient is φ = 51438240.

The previous prime is 157064503. The next prime is 157064533. The reversal of 157064508 is 805460751.

157064508 is a `hidden beast` number, since 1 + 5 + 7 + 0 + 645 + 0 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157064503) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 177435 + ... + 178317.

Almost surely, 2157064508 is an apocalyptic number.

157064508 is a gapful number since it is divisible by the number (18) 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 157064508, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209668004).

157064508 is an abundant number, since it is smaller than the sum of its proper divisors (262271500).

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

157064508 is an equidigital number, since it uses as much as digits as its factorization.

157064508 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 966 (or 949 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 157064508 is about 12532.5379712172. The cubic root of 157064508 is about 539.5429465947.

The spelling of 157064508 in words is "one hundred fifty-seven million, sixty-four thousand, five hundred eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 61 81 108 122 162 183 243 244 324 366 486 549 729 732 883 972 1098 1458 1647 1766 2196 2649 2916 3294 3532 4941 5298 6588 7947 9882 10596 14823 15894 19764 23841 29646 31788 44469 47682 53863 59292 71523 88938 95364 107726 143046 161589 177876 214569 215452 286092 323178 429138 484767 643707 646356 858276 969534 1287414 1454301 1939068 2574828 2908602 4362903 5817204 8725806 13088709 17451612 26177418 39266127 52354836 78532254 157064508