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576634968 = 23327131731167
BaseRepresentation
bin100010010111101…
…100000001011000
31111012001002110200
4202113230001120
52140104304333
6133115142200
720201213340
oct4227540130
91435032420
10576634968
1127654a428
12141144960
1392607930
1456823d20
1535954c13
hex225ec058

576634968 has 384 divisors, whose sum is σ = 2113413120. Its totient is φ = 137687040.

The previous prime is 576634943. The next prime is 576634997. The reversal of 576634968 is 869436675.

576634968 is a `hidden beast` number, since 576 + 6 + 3 + 4 + 9 + 68 = 666.

It is a super-2 number, since 2×5766349682 = 665015772640722048, which contains 22 as substring.

Its product of digits (6531840) is a multiple of the sum of its prime divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3452821 + ... + 3452987.

It is an arithmetic number, because the mean of its divisors is an integer number (5503680).

Almost surely, 2576634968 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 576634968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1056706560).

576634968 is an abundant number, since it is smaller than the sum of its proper divisors (1536778152).

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

576634968 is a wasteful number, since it uses less digits than its factorization.

576634968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 240 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 54.

The square root of 576634968 is about 24013.2248563162. The cubic root of 576634968 is about 832.3391545976.

The spelling of 576634968 in words is "five hundred seventy-six million, six hundred thirty-four thousand, nine hundred sixty-eight".