Search a number
-
+
157026792 = 233131926489
BaseRepresentation
bin10010101110000…
…00100111101000
3101221110210021010
421113000213220
5310144324132
623325343520
73614464026
oct1127004750
9357423233
10157026792
118070160a
1244707ba0
13266bc380
1416bd7716
15dbbb6cc
hex95c09e8

157026792 has 64 divisors (see below), whose sum is σ = 445032000. Its totient is φ = 45771264.

The previous prime is 157026791. The next prime is 157026803. The reversal of 157026792 is 297620751.

It is a super-2 number, since 2×1570267922 = 49314826811622528, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 157026792.

It is not an unprimeable number, because it can be changed into a prime (157026791) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7317 + ... + 19172.

It is an arithmetic number, because the mean of its divisors is an integer number (6953625).

Almost surely, 2157026792 is an apocalyptic number.

157026792 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

157026792 is an abundant number, since it is smaller than the sum of its proper divisors (288005208).

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

157026792 is a wasteful number, since it uses less digits than its factorization.

157026792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26530 (or 26526 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 39.

The square root of 157026792 is about 12531.0331577249. The cubic root of 157026792 is about 539.4997562073.

The spelling of 157026792 in words is "one hundred fifty-seven million, twenty-six thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 13 19 24 26 38 39 52 57 76 78 104 114 152 156 228 247 312 456 494 741 988 1482 1976 2964 5928 26489 52978 79467 105956 158934 211912 317868 344357 503291 635736 688714 1006582 1033071 1377428 1509873 2013164 2066142 2754856 3019746 4026328 4132284 6039492 6542783 8264568 12078984 13085566 19628349 26171132 39256698 52342264 78513396 157026792