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564275712 = 29371113367
BaseRepresentation
bin100001101000100…
…010101000000000
31110022210011202110
4201220202220000
52123423310322
6131554215320
716661156460
oct4150425000
91408704673
10564275712
1126a578770
12138b84540
138cb9b270
1454d27ba0
1534812c0c
hex21a22a00

564275712 has 320 divisors, whose sum is σ = 2023870464. Its totient is φ = 134922240.

The previous prime is 564275659. The next prime is 564275773. The reversal of 564275712 is 217572465.

It is a super-3 number, since 3×5642757123 (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1537353 + ... + 1537719.

Almost surely, 2564275712 is an apocalyptic number.

564275712 is a gapful number since it is divisible by the number (52) 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 564275712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1011935232).

564275712 is an abundant number, since it is smaller than the sum of its proper divisors (1459594752).

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

564275712 is a wasteful number, since it uses less digits than its factorization.

564275712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419 (or 403 counting only the distinct ones).

The product of its digits is 117600, while the sum is 39.

The square root of 564275712 is about 23754.4882495919. The cubic root of 564275712 is about 826.3495326488.

The spelling of 564275712 in words is "five hundred sixty-four million, two hundred seventy-five thousand, seven hundred twelve".