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56188040 = 2354134261
BaseRepresentation
bin1101011001010…
…1110010001000
310220201122111112
43112111302020
5103341004130
65324145452
71251406346
oct326256210
9126648445
1056188040
11297979a7
1216998288
13b843b7c
147668996
154ded495
hex3595c88

56188040 has 32 divisors (see below), whose sum is σ = 129510360. Its totient is φ = 21926400.

The previous prime is 56188031. The next prime is 56188079. The reversal of 56188040 is 4088165.

It can be written as a sum of positive squares in 4 ways, for example, as 48246916 + 7941124 = 6946^2 + 2818^2 .

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 56187988 and 56188006.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15491 + ... + 18770.

Almost surely, 256188040 is an apocalyptic number.

It is an amenable number.

56188040 is an abundant number, since it is smaller than the sum of its proper divisors (73322320).

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

56188040 is a wasteful number, since it uses less digits than its factorization.

56188040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34313 (or 34309 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 32.

The square root of 56188040 is about 7495.8681952126. The cubic root of 56188040 is about 383.0139814514.

The spelling of 56188040 in words is "fifty-six million, one hundred eighty-eight thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 41 82 164 205 328 410 820 1640 34261 68522 137044 171305 274088 342610 685220 1370440 1404701 2809402 5618804 7023505 11237608 14047010 28094020 56188040