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56419072 = 28733019
BaseRepresentation
bin1101011100111…
…0001100000000
310221011101102021
43113032030000
5103420402242
65333131224
71253361043
oct327161400
9127141367
1056419072
1129935536
1216a89b14
13b8c5088
1476c8c5a
154e46b67
hex35ce300

56419072 has 36 divisors (see below), whose sum is σ = 114198280. Its totient is φ = 27813888.

The previous prime is 56419063. The next prime is 56419081. The reversal of 56419072 is 27091465.

It is an interprime number because it is at equal distance from previous prime (56419063) and next prime (56419081).

It is a super-2 number, since 2×564190722 = 6366223370682368, which contains 22 as substring.

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 3 ways as a sum of consecutive naturals, for example, 17179 + ... + 20197.

Almost surely, 256419072 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 56419072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57099140).

56419072 is an abundant number, since it is smaller than the sum of its proper divisors (57779208).

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

56419072 is an equidigital number, since it uses as much as digits as its factorization.

56419072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3108 (or 3094 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 34.

The square root of 56419072 is about 7511.2630096409. The cubic root of 56419072 is about 383.5382180516.

The spelling of 56419072 in words is "fifty-six million, four hundred nineteen thousand, seventy-two".

Divisors: 1 2 4 8 16 32 64 73 128 146 256 292 584 1168 2336 3019 4672 6038 9344 12076 18688 24152 48304 96608 193216 220387 386432 440774 772864 881548 1763096 3526192 7052384 14104768 28209536 56419072