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56327400 = 2335521961
BaseRepresentation
bin1101011011011…
…1110011101000
310220222201200000
43112313303220
5103404434100
65331143000
71252526553
oct326676350
9126881600
1056327400
1129882678
1216a44a60
13b89242c
1476a369a
154e29900
hex35b7ce8

56327400 has 288 divisors, whose sum is σ = 209882400. Its totient is φ = 13996800.

The previous prime is 56327389. The next prime is 56327407. The reversal of 56327400 is 472365.

It is a happy number.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (56327407) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 923370 + ... + 923430.

Almost surely, 256327400 is an apocalyptic number.

56327400 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 56327400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104941200).

56327400 is an abundant number, since it is smaller than the sum of its proper divisors (153555000).

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

56327400 is a wasteful number, since it uses less digits than its factorization.

56327400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 56327400 is about 7505.1582261802. The cubic root of 56327400 is about 383.3303759486.

Adding to 56327400 its reverse (472365), we get a palindrome (56799765).

The spelling of 56327400 in words is "fifty-six million, three hundred twenty-seven thousand, four hundred".