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5664516 = 22311133301
BaseRepresentation
bin10101100110111100000100
3101122210020220
4111212330010
52422231031
6321224340
766101424
oct25467404
911583226
105664516
113219920
121a920b0
1312343b0
14a76484
1576d596
hex566f04

5664516 has 48 divisors (see below), whose sum is σ = 15532608. Its totient is φ = 1584000.

The previous prime is 5664511. The next prime is 5664523. The reversal of 5664516 is 6154665.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5664511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66 + ... + 3366.

It is an arithmetic number, because the mean of its divisors is an integer number (323596).

Almost surely, 25664516 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 5664516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7766304).

5664516 is an abundant number, since it is smaller than the sum of its proper divisors (9868092).

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

5664516 is a wasteful number, since it uses less digits than its factorization.

5664516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3332 (or 3330 counting only the distinct ones).

The product of its digits is 21600, while the sum is 33.

The square root of 5664516 is about 2380.0243696231. The cubic root of 5664516 is about 178.2601506769.

The spelling of 5664516 in words is "five million, six hundred sixty-four thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 66 78 132 143 156 286 429 572 858 1716 3301 6602 9903 13204 19806 36311 39612 42913 72622 85826 108933 128739 145244 171652 217866 257478 435732 472043 514956 944086 1416129 1888172 2832258 5664516