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5657376 = 253311901
BaseRepresentation
bin10101100101001100100000
3101122102110110
4111211030200
52422014001
6321131320
766041544
oct25451440
911572413
105657376
11321451a
121a89b40
13123107a
14a73a24
1576b3d6
hex565320

5657376 has 48 divisors (see below), whose sum is σ = 15337728. Its totient is φ = 1824000.

The previous prime is 5657359. The next prime is 5657387. The reversal of 5657376 is 6737565.

It is a tau number, because it is divible by the number of its divisors (48).

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, 2026 + ... + 3926.

It is an arithmetic number, because the mean of its divisors is an integer number (319536).

Almost surely, 25657376 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 5657376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7668864).

5657376 is an abundant number, since it is smaller than the sum of its proper divisors (9680352).

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

5657376 is a wasteful number, since it uses less digits than its factorization.

5657376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1945 (or 1937 counting only the distinct ones).

The product of its digits is 132300, while the sum is 39.

The square root of 5657376 is about 2378.5239120093. The cubic root of 5657376 is about 178.1852214967.

The spelling of 5657376 in words is "five million, six hundred fifty-seven thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 372 496 744 992 1488 1901 2976 3802 5703 7604 11406 15208 22812 30416 45624 58931 60832 91248 117862 176793 182496 235724 353586 471448 707172 942896 1414344 1885792 2828688 5657376