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56921400 = 23335283127
BaseRepresentation
bin1101100100100…
…0110100111000
310222002220111000
43121020310320
5104032441100
65352005000
71260552414
oct331106470
9128086430
1056921400
112a148988
1217090760
13ba3c903
1477b9d44
154ee5900
hex3648d38

56921400 has 192 divisors, whose sum is σ = 199987200. Its totient is φ = 14878080.

The previous prime is 56921387. The next prime is 56921411. The reversal of 56921400 is 412965.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 448137 + ... + 448263.

It is an arithmetic number, because the mean of its divisors is an integer number (1041600).

Almost surely, 256921400 is an apocalyptic number.

56921400 is a gapful number since it is divisible by the number (50) 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 56921400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99993600).

56921400 is an abundant number, since it is smaller than the sum of its proper divisors (143065800).

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

56921400 is a wasteful number, since it uses less digits than its factorization.

56921400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 56921400 is about 7544.6272273718. The cubic root of 56921400 is about 384.6731357383.

The spelling of 56921400 in words is "fifty-six million, nine hundred twenty-one thousand, four hundred".