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56824960 = 27588789
BaseRepresentation
bin1101100011000…
…1010010000000
310221221000012011
43120301102000
5104021344320
65345542304
71260001303
oct330612200
9127830164
1056824960
112a092485
1217044994
13ba07a4a
147792b3a
154ec705a
hex3631480

56824960 has 32 divisors (see below), whose sum is σ = 135848700. Its totient is φ = 22729728.

The previous prime is 56824919. The next prime is 56824979. The reversal of 56824960 is 6942865.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 54997056 + 1827904 = 7416^2 + 1352^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 43755 + ... + 45034.

Almost surely, 256824960 is an apocalyptic number.

It is an amenable number.

56824960 is an abundant number, since it is smaller than the sum of its proper divisors (79023740).

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

56824960 is an equidigital number, since it uses as much as digits as its factorization.

56824960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88808 (or 88796 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 40.

The square root of 56824960 is about 7538.2332147526. The cubic root of 56824960 is about 384.4557667103.

The spelling of 56824960 in words is "fifty-six million, eight hundred twenty-four thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 88789 177578 355156 443945 710312 887890 1420624 1775780 2841248 3551560 5682496 7103120 11364992 14206240 28412480 56824960