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56210752 = 261325197
BaseRepresentation
bin1101011001101…
…1010101000000
310220202210122201
43112123111000
5103342221002
65324442544
71251532513
oct326332500
9126683581
1056210752
1129802a74
12169a9454
13b851300
147672d7a
154e05087
hex359b540

56210752 has 42 divisors (see below), whose sum is σ = 120806718. Its totient is φ = 25938432.

The previous prime is 56210741. The next prime is 56210767. The reversal of 56210752 is 25701265.

It can be written as a sum of positive squares in 3 ways, for example, as 20736 + 56190016 = 144^2 + 7496^2 .

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 56210752.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8218 + ... + 13414.

Almost surely, 256210752 is an apocalyptic number.

56210752 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 56210752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60403359).

56210752 is an abundant number, since it is smaller than the sum of its proper divisors (64595966).

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

56210752 is a wasteful number, since it uses less digits than its factorization.

56210752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5235 (or 5212 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 28.

The square root of 56210752 is about 7497.3830100909. The cubic root of 56210752 is about 383.0655810547.

The spelling of 56210752 in words is "fifty-six million, two hundred ten thousand, seven hundred fifty-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 169 208 338 416 676 832 1352 2704 5197 5408 10394 10816 20788 41576 67561 83152 135122 166304 270244 332608 540488 878293 1080976 1756586 2161952 3513172 4323904 7026344 14052688 28105376 56210752