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564933096 = 233371341701
BaseRepresentation
bin100001101011000…
…011000111101000
31110101000120112000
4201223003013220
52124110324341
6132020251000
716666565160
oct4153030750
91411016460
10564933096
1126a987662
12139240a60
139006b550
14550595a0
15348e28b6
hex21ac31e8

564933096 has 256 divisors, whose sum is σ = 1981324800. Its totient is φ = 145152000.

The previous prime is 564933071. The next prime is 564933121. The reversal of 564933096 is 690339465.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (564933071) and next prime (564933121).

It is a super-2 number, since 2×5649330962 = 638298805912290432, which contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 805546 + ... + 806246.

It is an arithmetic number, because the mean of its divisors is an integer number (7739550).

Almost surely, 2564933096 is an apocalyptic number.

564933096 is a gapful number since it is divisible by the number (56) 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 564933096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (990662400).

564933096 is an abundant number, since it is smaller than the sum of its proper divisors (1416391704).

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

564933096 is a wasteful number, since it uses less digits than its factorization.

564933096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 777 (or 767 counting only the distinct ones).

The product of its (nonzero) digits is 524880, while the sum is 45.

The square root of 564933096 is about 23768.3212701276. The cubic root of 564933096 is about 826.6703085456.

The spelling of 564933096 in words is "five hundred sixty-four million, nine hundred thirty-three thousand, ninety-six".