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157202568 = 233213715937
BaseRepresentation
bin10010101111010…
…11100010001000
3101221210201101100
421113223202020
5310220440233
623333221400
73616125345
oct1127534210
9357721340
10157202568
1180811686
1244791860
1326751393
1416c417cc
15dc03813
hex95eb888

157202568 has 48 divisors (see below), whose sum is σ = 428891580. Its totient is φ = 52015104.

The previous prime is 157202557. The next prime is 157202597. The reversal of 157202568 is 865202751.

It is a happy number.

157202568 is a `hidden beast` number, since 1 + 572 + 0 + 25 + 68 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 153809604 + 3392964 = 12402^2 + 1842^2 .

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

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 1896 + ... + 17832.

Almost surely, 2157202568 is an apocalyptic number.

157202568 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 157202568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214445790).

157202568 is an abundant number, since it is smaller than the sum of its proper divisors (271689012).

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

157202568 is a wasteful number, since it uses less digits than its factorization.

157202568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16086 (or 16079 counting only the distinct ones).

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

The square root of 157202568 is about 12538.0448236557. The cubic root of 157202568 is about 539.7009867218.

The spelling of 157202568 in words is "one hundred fifty-seven million, two hundred two thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 137 274 411 548 822 1096 1233 1644 2466 3288 4932 9864 15937 31874 47811 63748 95622 127496 143433 191244 286866 382488 573732 1147464 2183369 4366738 6550107 8733476 13100214 17466952 19650321 26200428 39300642 52400856 78601284 157202568