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524264013 = 32713640127
BaseRepresentation
bin11111001111111…
…010001001001101
31100112111101000200
4133033322021031
52033202422023
6124004444113
715664112340
oct3717721115
91315441020
10524264013
11249a2a349
121276a9639
13847cc2c0
144d8b0457
153105c743
hex1f3fa24d

524264013 has 24 divisors (see below), whose sum is σ = 932026368. Its totient is φ = 276534432.

The previous prime is 524263981. The next prime is 524264057. The reversal of 524264013 is 310462425.

524264013 is a `hidden beast` number, since 5 + 2 + 4 + 2 + 640 + 13 = 666.

It is not a de Polignac number, because 524264013 - 25 = 524263981 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (524260013) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 319245 + ... + 320882.

It is an arithmetic number, because the mean of its divisors is an integer number (38834432).

Almost surely, 2524264013 is an apocalyptic number.

It is an amenable number.

524264013 is a deficient number, since it is larger than the sum of its proper divisors (407762355).

524264013 is a wasteful number, since it uses less digits than its factorization.

524264013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640153 (or 640150 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 524264013 is about 22896.8122890502. The cubic root of 524264013 is about 806.3371744933.

The spelling of 524264013 in words is "five hundred twenty-four million, two hundred sixty-four thousand, thirteen".

Divisors: 1 3 7 9 13 21 39 63 91 117 273 819 640127 1920381 4480889 5761143 8321651 13442667 24964953 40328001 58251557 74894859 174754671 524264013