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56433144 = 23331101751
BaseRepresentation
bin1101011101000…
…1100111111000
310221012002201110
43113101213320
5103421330034
65333320320
71253450055
oct327214770
9127162643
1056433144
1129945069
1216a960a0
13b8cb5c1
1476d002c
154e4ade9
hex35d19f8

56433144 has 64 divisors (see below), whose sum is σ = 147271680. Its totient is φ = 18000000.

The previous prime is 56433133. The next prime is 56433163. The reversal of 56433144 is 44133465.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74769 + ... + 75519.

It is an arithmetic number, because the mean of its divisors is an integer number (2301120).

Almost surely, 256433144 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 56433144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73635840).

56433144 is an abundant number, since it is smaller than the sum of its proper divisors (90838536).

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

56433144 is a wasteful number, since it uses less digits than its factorization.

56433144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 892 (or 888 counting only the distinct ones).

The product of its digits is 17280, while the sum is 30.

The square root of 56433144 is about 7512.1996778573. The cubic root of 56433144 is about 383.5701026664.

The spelling of 56433144 in words is "fifty-six million, four hundred thirty-three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 101 124 186 202 248 303 372 404 606 744 751 808 1212 1502 2253 2424 3004 3131 4506 6008 6262 9012 9393 12524 18024 18786 23281 25048 37572 46562 69843 75144 75851 93124 139686 151702 186248 227553 279372 303404 455106 558744 606808 910212 1820424 2351381 4702762 7054143 9405524 14108286 18811048 28216572 56433144