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56349024 = 253607967
BaseRepresentation
bin1101011011110…
…1000101100000
310221000211022220
43112331011200
5103411132044
65331431040
71252646604
oct326750540
9127024286
1056349024
1129897946
1216a55480
13b89c224
1476ab504
154e31019
hex35bd160

56349024 has 48 divisors (see below), whose sum is σ = 148313088. Its totient is φ = 18732672.

The previous prime is 56349023. The next prime is 56349031. The reversal of 56349024 is 42094365.

56349024 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 (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56349023) 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, 57789 + ... + 58755.

It is an arithmetic number, because the mean of its divisors is an integer number (3089856).

Almost surely, 256349024 is an apocalyptic number.

It is an amenable number.

56349024 is an abundant number, since it is smaller than the sum of its proper divisors (91964064).

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

56349024 is a wasteful number, since it uses less digits than its factorization.

56349024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1587 (or 1579 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 56349024 is about 7506.5986971464. The cubic root of 56349024 is about 383.3794229817.

The spelling of 56349024 in words is "fifty-six million, three hundred forty-nine thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 607 967 1214 1821 1934 2428 2901 3642 3868 4856 5802 7284 7736 9712 11604 14568 15472 19424 23208 29136 30944 46416 58272 92832 586969 1173938 1760907 2347876 3521814 4695752 7043628 9391504 14087256 18783008 28174512 56349024