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56206332 = 223372131943
BaseRepresentation
bin1101011001101…
…0001111111100
310220202120121000
43112122033330
5103342100312
65324410300
71251513600
oct326321774
9126676530
1056206332
11297aa716
12169a6990
13b84c2b0
147671500
154e03adc
hex359a3fc

56206332 has 288 divisors, whose sum is σ = 196627200. Its totient is φ = 13716864.

The previous prime is 56206309. The next prime is 56206343. The reversal of 56206332 is 23360265.

56206332 is a `hidden beast` number, since 5 + 6 + 20 + 633 + 2 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 56206296 and 56206305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1307103 + ... + 1307145.

Almost surely, 256206332 is an apocalyptic number.

56206332 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 56206332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98313600).

56206332 is an abundant number, since it is smaller than the sum of its proper divisors (140420868).

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

56206332 is a wasteful number, since it uses less digits than its factorization.

56206332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 56206332 is about 7497.0882347749. The cubic root of 56206332 is about 383.0555403052.

Adding to 56206332 its reverse (23360265), we get a palindrome (79566597).

The spelling of 56206332 in words is "fifty-six million, two hundred six thousand, three hundred thirty-two".