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157079832 = 233713711013
BaseRepresentation
bin10010101110011…
…01100100011000
3101221120111000120
421113031210120
5310203023312
623330433240
73615104460
oct1127154430
9357514016
10157079832
1180738448
1244732820
132670a560
1416c0cba0
15dbcc28c
hex95cd918

157079832 has 128 divisors (see below), whose sum is σ = 490613760. Its totient is φ = 40803840.

The previous prime is 157079827. The next prime is 157079833. The reversal of 157079832 is 238970751.

It is a super-2 number, since 2×1570798322 = 49348147242296448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157079833) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 154558 + ... + 155570.

It is an arithmetic number, because the mean of its divisors is an integer number (3832920).

Almost surely, 2157079832 is an apocalyptic number.

157079832 is a gapful number since it is divisible by the number (12) 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 157079832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245306880).

157079832 is an abundant number, since it is smaller than the sum of its proper divisors (333533928).

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

157079832 is a wasteful number, since it uses less digits than its factorization.

157079832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1113 (or 1109 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 42.

The square root of 157079832 is about 12533.1493248904. The cubic root of 157079832 is about 539.5604928614.

The spelling of 157079832 in words is "one hundred fifty-seven million, seventy-nine thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 71 78 84 91 104 142 156 168 182 213 273 284 312 364 426 497 546 568 728 852 923 994 1013 1092 1491 1704 1846 1988 2026 2184 2769 2982 3039 3692 3976 4052 5538 5964 6078 6461 7091 7384 8104 11076 11928 12156 12922 13169 14182 19383 21273 22152 24312 25844 26338 28364 38766 39507 42546 51688 52676 56728 71923 77532 79014 85092 92183 105352 143846 155064 158028 170184 184366 215769 276549 287692 316056 368732 431538 503461 553098 575384 737464 863076 934999 1006922 1106196 1510383 1726152 1869998 2013844 2212392 2804997 3020766 3739996 4027688 5609994 6041532 6544993 7479992 11219988 12083064 13089986 19634979 22439976 26179972 39269958 52359944 78539916 157079832