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56142048 = 253976029
BaseRepresentation
bin1101011000101…
…0100011100000
310220122022102010
43112022203200
5103333021143
65323152520
71251125304
oct326124340
9126568363
1056142048
1129766396
1216975740
13b828c61
147655d04
154ddea33
hex358a8e0

56142048 has 48 divisors (see below), whose sum is σ = 148916880. Its totient is φ = 18518016.

The previous prime is 56142019. The next prime is 56142059. The reversal of 56142048 is 84024165.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6298 + ... + 12326.

It is an arithmetic number, because the mean of its divisors is an integer number (3102435).

Almost surely, 256142048 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 56142048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74458440).

56142048 is an abundant number, since it is smaller than the sum of its proper divisors (92774832).

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

56142048 is a wasteful number, since it uses less digits than its factorization.

56142048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6139 (or 6131 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 56142048 is about 7492.7997437540. The cubic root of 56142048 is about 382.9094491965.

The spelling of 56142048 in words is "fifty-six million, one hundred forty-two thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 97 194 291 388 582 776 1164 1552 2328 3104 4656 6029 9312 12058 18087 24116 36174 48232 72348 96464 144696 192928 289392 578784 584813 1169626 1754439 2339252 3508878 4678504 7017756 9357008 14035512 18714016 28071024 56142048