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56476896 = 2537229367
BaseRepresentation
bin1101011101110…
…0010011100000
310221021022201220
43113130103200
5103424230041
65334255040
71254021450
oct327342340
9127238656
1056476896
1129974a23
1216ab7480
13b9154a8
147701d60
154e58d66
hex35dc4e0

56476896 has 96 divisors (see below), whose sum is σ = 170634240. Its totient is φ = 16022016.

The previous prime is 56476867. The next prime is 56476897. The reversal of 56476896 is 69867465.

56476896 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56476897) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 153705 + ... + 154071.

It is an arithmetic number, because the mean of its divisors is an integer number (1777440).

Almost surely, 256476896 is an apocalyptic number.

56476896 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56476896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85317120).

56476896 is an abundant number, since it is smaller than the sum of its proper divisors (114157344).

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

56476896 is a wasteful number, since it uses less digits than its factorization.

56476896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616 (or 608 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 51.

The square root of 56476896 is about 7515.1111768223. Note that the first 4 decimals coincide. The cubic root of 56476896 is about 383.6692029637.

The spelling of 56476896 in words is "fifty-six million, four hundred seventy-six thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 229 336 367 458 672 687 734 916 1101 1374 1468 1603 1832 2202 2569 2748 2936 3206 3664 4404 4809 5138 5496 5872 6412 7328 7707 8808 9618 10276 10992 11744 12824 15414 17616 19236 20552 21984 25648 30828 35232 38472 41104 51296 61656 76944 82208 84043 123312 153888 168086 246624 252129 336172 504258 588301 672344 1008516 1176602 1344688 1764903 2017032 2353204 2689376 3529806 4034064 4706408 7059612 8068128 9412816 14119224 18825632 28238448 56476896