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56401300 = 2252564013
BaseRepresentation
bin1101011100100…
…1110110010100
310221010111001001
43113021312110
5103414320200
65332513044
71253255164
oct327116624
9127114031
1056401300
112992314a
1216a7b784
13b8b9c67
1476c25a4
154e4176a
hex35c9d94

56401300 has 18 divisors (see below), whose sum is σ = 122391038. Its totient is φ = 22560480.

The previous prime is 56401277. The next prime is 56401321. The reversal of 56401300 is 310465.

It can be written as a sum of positive squares in 3 ways, for example, as 2202256 + 54199044 = 1484^2 + 7362^2 .

It is a super-2 number, since 2×564013002 = 6362213283380000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 281907 + ... + 282106.

Almost surely, 256401300 is an apocalyptic number.

56401300 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

56401300 is an abundant number, since it is smaller than the sum of its proper divisors (65989738).

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

56401300 is a wasteful number, since it uses less digits than its factorization.

56401300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 564027 (or 564020 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 56401300 is about 7510.0798930504. The cubic root of 56401300 is about 383.4979423268.

Adding to 56401300 its reverse (310465), we get a palindrome (56711765).

The spelling of 56401300 in words is "fifty-six million, four hundred one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 564013 1128026 2256052 2820065 5640130 11280260 14100325 28200650 56401300