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56423808 = 273276997
BaseRepresentation
bin1101011100111…
…1010110000000
310221011121220200
43113033112000
5103421030213
65333205200
71253410620
oct327172600
9127147820
1056423808
1129939051
1216a90800
13b8c728c
1476ca880
154e48273
hex35cf580

56423808 has 96 divisors (see below), whose sum is σ = 185586960. Its totient is φ = 16118784.

The previous prime is 56423791. The next prime is 56423819. The reversal of 56423808 is 80832465.

56423808 is a `hidden beast` number, since 5 + 642 + 3 + 8 + 0 + 8 = 666.

56423808 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 super-2 number, since 2×564238082 = 6367292218441728, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 4566 + ... + 11562.

Almost surely, 256423808 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 56423808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92793480).

56423808 is an abundant number, since it is smaller than the sum of its proper divisors (129163152).

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

56423808 is a wasteful number, since it uses less digits than its factorization.

56423808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7024 (or 7009 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 56423808 is about 7511.5782629218. The cubic root of 56423808 is about 383.5489495655.

The spelling of 56423808 in words is "fifty-six million, four hundred twenty-three thousand, eight hundred eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 288 336 384 448 504 576 672 896 1008 1152 1344 2016 2688 4032 6997 8064 13994 20991 27988 41982 48979 55976 62973 83964 97958 111952 125946 146937 167928 195916 223904 251892 293874 335856 391832 440811 447808 503784 587748 671712 783664 881622 895616 1007568 1175496 1343424 1567328 1763244 2015136 2350992 2686848 3134656 3526488 4030272 4701984 6269312 7052976 8060544 9403968 14105952 18807936 28211904 56423808