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5659968 = 26341719
BaseRepresentation
bin10101100101110101000000
3101122120000110
4111211311000
52422104333
6321151320
766052236
oct25456500
911576013
105659968
113216466
121a8b540
1312322c2
14a74956
1576c063
hex565d40

5659968 has 56 divisors (see below), whose sum is σ = 15361920. Its totient is φ = 1838080.

The previous prime is 5659957. The next prime is 5659987. The reversal of 5659968 is 8699565.

It is a super-2 number, since 2×56599682 = 64070475522048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 7513 + ... + 8231.

It is an arithmetic number, because the mean of its divisors is an integer number (274320).

Almost surely, 25659968 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 5659968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7680960).

5659968 is an abundant number, since it is smaller than the sum of its proper divisors (9701952).

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

5659968 is a wasteful number, since it uses less digits than its factorization.

5659968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 775 (or 765 counting only the distinct ones).

The product of its digits is 583200, while the sum is 48.

The square root of 5659968 is about 2379.0687253629. The cubic root of 5659968 is about 178.2124299633.

The spelling of 5659968 in words is "five million, six hundred fifty-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 82 96 123 164 192 246 328 492 656 719 984 1312 1438 1968 2157 2624 2876 3936 4314 5752 7872 8628 11504 17256 23008 29479 34512 46016 58958 69024 88437 117916 138048 176874 235832 353748 471664 707496 943328 1414992 1886656 2829984 5659968