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64393056 = 253572132
BaseRepresentation
bin1111010110100…
…0111101100000
311111011111200000
43311220331200
5112441034211
610220100000
71411221600
oct365507540
9144144600
1064393056
1133391502
1219694600
1310457700
1487a2c00
1559be656
hex3d68f60

64393056 has 324 divisors, whose sum is σ = 239203692. Its totient is φ = 16982784.

The previous prime is 64393051. The next prime is 64393067. The reversal of 64393056 is 65039346.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

64393056 is a `hidden beast` number, since 643 + 9 + 3 + 0 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (324).

It is a super-2 number, since 2×643930562 = 8292931322038272, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 64393056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64393051) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 4953306 + ... + 4953318.

It is an arithmetic number, because the mean of its divisors is an integer number (738283).

Almost surely, 264393056 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 64393056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119601846).

64393056 is an abundant number, since it is smaller than the sum of its proper divisors (174810636).

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

64393056 is a wasteful number, since it uses less digits than its factorization.

64393056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The square root of 64393056 is about 8024.5283973577. The cubic root of 64393056 is about 400.8171960064.

The spelling of 64393056 in words is "sixty-four million, three hundred ninety-three thousand, fifty-six".