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56219328 = 26321119467
BaseRepresentation
bin1101011001110…
…1011011000000
310220210020102100
43112131123000
5103343004303
65324550400
71251566514
oct326353300
9126706370
1056219328
1129809460
12169b2400
13b855199
147676144
154e078a3
hex359d6c0

56219328 has 168 divisors, whose sum is σ = 185440320. Its totient is φ = 16104960.

The previous prime is 56219321. The next prime is 56219353. The reversal of 56219328 is 82391265.

56219328 is a `hidden beast` number, since 5 + 621 + 9 + 3 + 28 = 666.

56219328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×562193282 = 6321225681543168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 56219292 and 56219301.

It is not an unprimeable number, because it can be changed into a prime (56219321) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 120151 + ... + 120617.

Almost surely, 256219328 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 56219328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92720160).

56219328 is an abundant number, since it is smaller than the sum of its proper divisors (129220992).

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

56219328 is a wasteful number, since it uses less digits than its factorization.

56219328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515 (or 502 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 56219328 is about 7497.9549211768. The cubic root of 56219328 is about 383.0850613336.

The spelling of 56219328 in words is "fifty-six million, two hundred nineteen thousand, three hundred twenty-eight".