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56220480 = 26365241
BaseRepresentation
bin1101011001110…
…1101101000000
310220210022000000
43112131231000
5103343023410
65325000000
71251603051
oct326355500
9126708000
1056220480
112980a308
12169b3000
13b855874
147676728
154e07dc0
hex359db40

56220480 has 196 divisors, whose sum is σ = 201553572. Its totient is φ = 14929920.

The previous prime is 56220443. The next prime is 56220491. The reversal of 56220480 is 8402265.

56220480 is a `hidden beast` number, since 562 + 20 + 4 + 80 = 666.

56220480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 31539456 + 24681024 = 5616^2 + 4968^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 233160 + ... + 233400.

Almost surely, 256220480 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56220480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100776786).

56220480 is an abundant number, since it is smaller than the sum of its proper divisors (145333092).

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

56220480 is an equidigital number, since it uses as much as digits as its factorization.

56220480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 56220480 is about 7498.0317417306. The cubic root of 56220480 is about 383.0876779365.

The spelling of 56220480 in words is "fifty-six million, two hundred twenty thousand, four hundred eighty".