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56482944 = 273721013
BaseRepresentation
bin1101011101110…
…1110010000000
310221021122000220
43113131302000
5103424423234
65334343040
71254045210
oct327356200
9127248026
1056482944
1129979521
1216abaa80
13b91817b
147704240
154e5aa49
hex35ddc80

56482944 has 64 divisors (see below), whose sum is σ = 171474240. Its totient is φ = 16137216.

The previous prime is 56482939. The next prime is 56482949. The reversal of 56482944 is 44928465.

56482944 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (56482939) and next prime (56482949).

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 56482896 and 56482905.

It is not an unprimeable number, because it can be changed into a prime (56482949) 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 7 ways as a sum of consecutive naturals, for example, 7819 + ... + 13194.

It is an arithmetic number, because the mean of its divisors is an integer number (2679285).

Almost surely, 256482944 is an apocalyptic number.

It is an amenable number.

56482944 is an abundant number, since it is smaller than the sum of its proper divisors (114991296).

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

56482944 is a wasteful number, since it uses less digits than its factorization.

56482944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21037 (or 21025 counting only the distinct ones).

The product of its digits is 276480, while the sum is 42.

The square root of 56482944 is about 7515.5135553068. The cubic root of 56482944 is about 383.6828979357.

The spelling of 56482944 in words is "fifty-six million, four hundred eighty-two thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 336 384 448 672 896 1344 2688 21013 42026 63039 84052 126078 147091 168104 252156 294182 336208 441273 504312 588364 672416 882546 1008624 1176728 1344832 1765092 2017248 2353456 2689664 3530184 4034496 4706912 7060368 8068992 9413824 14120736 18827648 28241472 56482944