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564516536 = 234110131699
BaseRepresentation
bin100001101001011…
…101011010111000
31110100020102002212
4201221131122320
52124004012121
6132003314252
716663211543
oct4151353270
91410212085
10564516536
1126a7226a1
1213907b988
138cc53a6c
1454d8b85a
153485e25b
hex21a5d6b8

564516536 has 32 divisors (see below), whose sum is σ = 1085994000. Its totient is φ = 274940160.

The previous prime is 564516517. The next prime is 564516571. The reversal of 564516536 is 635615465.

564516536 = T2968 + T2969 + ... + T3090.

564516536 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a junction number, because it is equal to n+sod(n) for n = 564516493 and 564516502.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 331415 + ... + 333113.

Almost surely, 2564516536 is an apocalyptic number.

It is an amenable number.

564516536 is a deficient number, since it is larger than the sum of its proper divisors (521477464).

564516536 is a wasteful number, since it uses less digits than its factorization.

564516536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2759 (or 2755 counting only the distinct ones).

The product of its digits is 324000, while the sum is 41.

The square root of 564516536 is about 23759.5567298719. The cubic root of 564516536 is about 826.4670735906.

The spelling of 564516536 in words is "five hundred sixty-four million, five hundred sixteen thousand, five hundred thirty-six".

Divisors: 1 2 4 8 41 82 164 328 1013 1699 2026 3398 4052 6796 8104 13592 41533 69659 83066 139318 166132 278636 332264 557272 1721087 3442174 6884348 13768696 70564567 141129134 282258268 564516536