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56953260 = 223357131961
BaseRepresentation
bin1101100101000…
…0100110101100
310222011112012000
43121100212230
5104040001020
65352412300
71261044330
oct331204654
9128145160
1056953260
112a16a911
12170a7090
13ba51270
1477c77c0
155000090
hex36509ac

56953260 has 384 divisors, whose sum is σ = 233318400. Its totient is φ = 11197440.

The previous prime is 56953219. The next prime is 56953271. The reversal of 56953260 is 6235965.

56953260 is a `hidden beast` number, since 5 + 69 + 532 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 933630 + ... + 933690.

It is an arithmetic number, because the mean of its divisors is an integer number (607600).

Almost surely, 256953260 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 56953260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116659200).

56953260 is an abundant number, since it is smaller than the sum of its proper divisors (176365140).

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

56953260 is a wasteful number, since it uses less digits than its factorization.

56953260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The square root of 56953260 is about 7546.7383683284. The cubic root of 56953260 is about 384.7448919977.

The spelling of 56953260 in words is "fifty-six million, nine hundred fifty-three thousand, two hundred sixty".