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56403760 = 2457472143
BaseRepresentation
bin1101011100101…
…0011100110000
310221010121102011
43113022130300
5103414410020
65332532304
71253265310
oct327123460
9127117364
1056403760
1129924a86
1216a81094
13b8bb10a
1476c3440
154e4235a
hex35ca730

56403760 has 80 divisors (see below), whose sum is σ = 153133056. Its totient is φ = 18918144.

The previous prime is 56403733. The next prime is 56403803. The reversal of 56403760 is 6730465.

56403760 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 (80).

It is an unprimeable number.

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, 25249 + ... + 27391.

Almost surely, 256403760 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 56403760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76566528).

56403760 is an abundant number, since it is smaller than the sum of its proper divisors (96729296).

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

56403760 is a wasteful number, since it uses less digits than its factorization.

56403760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2210 (or 2204 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 31.

The square root of 56403760 is about 7510.2436711468. The cubic root of 56403760 is about 383.5035177966.

The spelling of 56403760 in words is "fifty-six million, four hundred three thousand, seven hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 47 56 70 80 94 112 140 188 235 280 329 376 470 560 658 752 940 1316 1645 1880 2143 2632 3290 3760 4286 5264 6580 8572 10715 13160 15001 17144 21430 26320 30002 34288 42860 60004 75005 85720 100721 120008 150010 171440 201442 240016 300020 402884 503605 600040 705047 805768 1007210 1200080 1410094 1611536 2014420 2820188 3525235 4028840 5640376 7050470 8057680 11280752 14100940 28201880 56403760