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56331000 = 23325311569
BaseRepresentation
bin1101011011100…
…0101011111000
310220222220121100
43112320223320
5103410043000
65331211400
71252543215
oct326705370
9126886540
1056331000
1129885350
1216a46b60
13b893c6b
1476a4b0c
154e2aa00
hex35b8af8

56331000 has 192 divisors, whose sum is σ = 208072800. Its totient is φ = 13632000.

The previous prime is 56330993. The next prime is 56331019. The reversal of 56331000 is 13365.

56331000 is a `hidden beast` number, since 563 + 3 + 100 + 0 = 666.

It is a super-2 number, since 2×563310002 = 6346363122000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 98716 + ... + 99284.

Almost surely, 256331000 is an apocalyptic number.

56331000 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 56331000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104036400).

56331000 is an abundant number, since it is smaller than the sum of its proper divisors (151741800).

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

56331000 is a wasteful number, since it uses less digits than its factorization.

56331000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 607 (or 590 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 56331000 is about 7505.3980573984. The cubic root of 56331000 is about 383.3385422523.

Adding to 56331000 its reverse (13365), we get a palindrome (56344365).

The spelling of 56331000 in words is "fifty-six million, three hundred thirty-one thousand".