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56604640 = 2552811259
BaseRepresentation
bin1101011111101…
…1011111100000
310221111210222011
43113323133200
5103442322030
65341122304
71255063051
oct327733740
9127453864
1056604640
1129a519a4
1216b59394
13b95b691
147736728
154e81b2a
hex35fb7e0

56604640 has 48 divisors (see below), whose sum is σ = 134310960. Its totient is φ = 22543360.

The previous prime is 56604631. The next prime is 56604643. The reversal of 56604640 is 4640665.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56604643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44331 + ... + 45589.

It is an arithmetic number, because the mean of its divisors is an integer number (2798145).

Almost surely, 256604640 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 56604640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67155480).

56604640 is an abundant number, since it is smaller than the sum of its proper divisors (77706320).

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

56604640 is a wasteful number, since it uses less digits than its factorization.

56604640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1555 (or 1547 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

The square root of 56604640 is about 7523.6055186327. The cubic root of 56604640 is about 383.9582564577.

The spelling of 56604640 in words is "fifty-six million, six hundred four thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 281 562 1124 1259 1405 2248 2518 2810 4496 5036 5620 6295 8992 10072 11240 12590 20144 22480 25180 40288 44960 50360 100720 201440 353779 707558 1415116 1768895 2830232 3537790 5660464 7075580 11320928 14151160 28302320 56604640