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56397432 = 23373131731
BaseRepresentation
bin1101011100100…
…0111001111000
310221010021201210
43113020321320
5103414204212
65332443120
71253241000
oct327107170
9127107653
1056397432
1129920253
1216a794a0
13b8b8280
1476c1000
154e4053c
hex35c8e78

56397432 has 256 divisors, whose sum is σ = 193536000. Its totient is φ = 13547520.

The previous prime is 56397413. The next prime is 56397437. The reversal of 56397432 is 23479365.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56397437) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1819257 + ... + 1819287.

It is an arithmetic number, because the mean of its divisors is an integer number (756000).

Almost surely, 256397432 is an apocalyptic number.

56397432 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56397432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96768000).

56397432 is an abundant number, since it is smaller than the sum of its proper divisors (137138568).

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

56397432 is a wasteful number, since it uses less digits than its factorization.

56397432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 73 counting only the distinct ones).

The product of its digits is 136080, while the sum is 39.

The square root of 56397432 is about 7509.8223680724. The cubic root of 56397432 is about 383.4891753661.

The spelling of 56397432 in words is "fifty-six million, three hundred ninety-seven thousand, four hundred thirty-two".