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56705152 = 27729041
BaseRepresentation
bin1101100001010…
…0000010000000
310221200220211211
43120110002000
5104004031102
65343215504
71255662100
oct330240200
9127626754
1056705152
112a010469
1216ba7594
13b99535a
147761200
154ea17d7
hex3614080

56705152 has 48 divisors (see below), whose sum is σ = 131425470. Its totient is φ = 24299520.

The previous prime is 56705147. The next prime is 56705153. The reversal of 56705152 is 25150765.

It can be written as a sum of positive squares in only one way, i.e., 30735936 + 25969216 = 5544^2 + 5096^2 .

It is not an unprimeable number, because it can be changed into a prime (56705153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1752 + ... + 10792.

Almost surely, 256705152 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 56705152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65712735).

56705152 is an abundant number, since it is smaller than the sum of its proper divisors (74720318).

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

56705152 is an equidigital number, since it uses as much as digits as its factorization.

56705152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9069 (or 9050 counting only the distinct ones).

The product of its (nonzero) digits is 10500, while the sum is 31.

The square root of 56705152 is about 7530.2823320245. The cubic root of 56705152 is about 384.1853850237.

The spelling of 56705152 in words is "fifty-six million, seven hundred five thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 392 448 784 896 1568 3136 6272 9041 18082 36164 63287 72328 126574 144656 253148 289312 443009 506296 578624 886018 1012592 1157248 1772036 2025184 3544072 4050368 7088144 8100736 14176288 28352576 56705152