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567463680 = 28325731227
BaseRepresentation
bin100001110100101…
…100111100000000
31110112210010211100
4201310230330000
52130232314210
6132150414400
720030235030
oct4164547400
91415703740
10567463680
11271355953
1213a061400
1390746334
14555178c0
1534c425c0
hex21d2cf00

567463680 has 432 divisors, whose sum is σ = 2326431744. Its totient is φ = 124968960.

The previous prime is 567463667. The next prime is 567463681. The reversal of 567463680 is 86364765.

567463680 is a `hidden beast` number, since 5 + 6 + 7 + 4 + 636 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (567463681) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2499727 + ... + 2499953.

Almost surely, 2567463680 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 567463680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1163215872).

567463680 is an abundant number, since it is smaller than the sum of its proper divisors (1758968064).

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

567463680 is a wasteful number, since it uses less digits than its factorization.

567463680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 567463680 is about 23821.4961746738. The cubic root of 567463680 is about 827.9028101285.

The spelling of 567463680 in words is "five hundred sixty-seven million, four hundred sixty-three thousand, six hundred eighty".