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157643496 = 2334673631
BaseRepresentation
bin10010110010101…
…11001011101000
3101222122010020000
421121113023220
5310324042441
623350503000
73622643013
oct1131271350
9358563200
10157643496
1180a9298a
1244964a60
1326876c9a
1416d1837a
15dc8e2b6
hex96572e8

157643496 has 80 divisors (see below), whose sum is σ = 448261440. Its totient is φ = 51749280.

The previous prime is 157643489. The next prime is 157643503. The reversal of 157643496 is 694346751.

157643496 is a `hidden beast` number, since 157 + 6 + 4 + 3 + 496 = 666.

157643496 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (157643489) and next prime (157643503).

It is a super-2 number, since 2×1576434962 = 49702943662204032, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 41601 + ... + 45231.

It is an arithmetic number, because the mean of its divisors is an integer number (5603268).

Almost surely, 2157643496 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 157643496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224130720).

157643496 is an abundant number, since it is smaller than the sum of its proper divisors (290617944).

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

157643496 is a wasteful number, since it uses less digits than its factorization.

157643496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3716 (or 3703 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The square root of 157643496 is about 12555.6161139149. The cubic root of 157643496 is about 540.2051072698.

The spelling of 157643496 in words is "one hundred fifty-seven million, six hundred forty-three thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 67 72 81 108 134 162 201 216 268 324 402 536 603 648 804 1206 1608 1809 2412 3618 3631 4824 5427 7236 7262 10854 10893 14472 14524 21708 21786 29048 32679 43416 43572 65358 87144 98037 130716 196074 243277 261432 294111 392148 486554 588222 729831 784296 973108 1176444 1459662 1946216 2189493 2352888 2919324 4378986 5838648 6568479 8757972 13136958 17515944 19705437 26273916 39410874 52547832 78821748 157643496