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56330064 = 24327294147
BaseRepresentation
bin1101011011100…
…0011101010000
310220222212022200
43112320131100
5103410030224
65331203200
71252540410
oct326703520
9126885280
1056330064
112988467a
1216a46500
13b8936cb
1476a4640
154e2a5c9
hex35b8750

56330064 has 240 divisors, whose sum is σ = 194987520. Its totient is φ = 14837760.

The previous prime is 56330063. The next prime is 56330089. The reversal of 56330064 is 46003365.

56330064 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 2×563300642 = 6346152220488192, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56330063) 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 47 ways as a sum of consecutive naturals, for example, 1198489 + ... + 1198535.

It is an arithmetic number, because the mean of its divisors is an integer number (812448).

Almost surely, 256330064 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 56330064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97493760).

56330064 is an abundant number, since it is smaller than the sum of its proper divisors (138657456).

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

56330064 is a wasteful number, since it uses less digits than its factorization.

56330064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 129 counting only the distinct ones).

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

The square root of 56330064 is about 7505.3357020189. The cubic root of 56330064 is about 383.3364190468.

The spelling of 56330064 in words is "fifty-six million, three hundred thirty thousand, sixty-four".