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157528116 = 223229150889
BaseRepresentation
bin10010110001110…
…11000000110100
3101222102020221200
421120323000310
5310311344431
623344212500
73621652434
oct1130730064
9358366850
10157528116
1180a14229
124490a130
1326836605
1416cc82c4
15dc69ee6
hex963b034

157528116 has 36 divisors (see below), whose sum is σ = 411929700. Its totient is φ = 50698368.

The previous prime is 157528099. The next prime is 157528117. The reversal of 157528116 is 611825751.

157528116 is a `hidden beast` number, since 1 + 575 + 2 + 81 + 1 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 57608100 + 99920016 = 7590^2 + 9996^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 (157528117) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 74401 + ... + 76488.

Almost surely, 2157528116 is an apocalyptic number.

It is an amenable number.

157528116 is an abundant number, since it is smaller than the sum of its proper divisors (254401584).

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

157528116 is a wasteful number, since it uses less digits than its factorization.

157528116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150928 (or 150923 counting only the distinct ones).

The product of its digits is 16800, while the sum is 36.

The square root of 157528116 is about 12551.0205162768. The cubic root of 157528116 is about 540.0732822356.

The spelling of 157528116 in words is "one hundred fifty-seven million, five hundred twenty-eight thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 522 1044 150889 301778 452667 603556 905334 1358001 1810668 2716002 4375781 5432004 8751562 13127343 17503124 26254686 39382029 52509372 78764058 157528116