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56434688 = 213832
BaseRepresentation
bin1101011101001…
…0000000000000
310221012011211122
43113102000000
5103421402223
65333331412
71253454422
oct327220000
9127164748
1056434688
1129946242
1216a96b68
13b8cc20b
1476d0812
154e4b5c8
hex35d2000

56434688 has 42 divisors (see below), whose sum is σ = 114238659. Its totient is φ = 27877376.

The previous prime is 56434687. The next prime is 56434711. The reversal of 56434688 is 88643465.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 28217344 + 28217344 = 5312^2 + 5312^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=5312.

It is a Duffinian number.

Its product of digits (552960) is a multiple of the sum of its prime factors (192).

It is not an unprimeable number, because it can be changed into a prime (56434687) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 679895 + ... + 679977.

Almost surely, 256434688 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 56434688

56434688 is an abundant number, since it is smaller than the sum of its proper divisors (57803971).

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

56434688 is an frugal number, since it uses more digits than its factorization.

56434688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 85 counting only the distinct ones).

The product of its digits is 552960, while the sum is 44.

The square root of 56434688 is about 7512.3024433259. The cubic root of 56434688 is about 383.5736007694.

The spelling of 56434688 in words is "fifty-six million, four hundred thirty-four thousand, six hundred eighty-eight".

Divisors: 1 2 4 8 16 32 64 83 128 166 256 332 512 664 1024 1328 2048 2656 4096 5312 6889 8192 10624 13778 21248 27556 42496 55112 84992 110224 169984 220448 339968 440896 679936 881792 1763584 3527168 7054336 14108672 28217344 56434688