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64390016 = 2717127233
BaseRepresentation
bin1111010110100…
…0001110000000
311111011100111102
43311220032000
5112440440031
610220033532
71411206665
oct365501600
9144140442
1064390016
113338a199
12196928a8
1310456202
1487a1a6c
1559bd7cb
hex3d68380

64390016 has 64 divisors (see below), whose sum is σ = 137479680. Its totient is φ = 29933568.

The previous prime is 64390013. The next prime is 64390019. The reversal of 64390016 is 61009346.

It is an interprime number because it is at equal distance from previous prime (64390013) and next prime (64390019).

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64390013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 276236 + ... + 276468.

It is an arithmetic number, because the mean of its divisors is an integer number (2148120).

Almost surely, 264390016 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 64390016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68739840).

64390016 is an abundant number, since it is smaller than the sum of its proper divisors (73089664).

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

64390016 is a wasteful number, since it uses less digits than its factorization.

64390016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 29.

The square root of 64390016 is about 8024.3389758908. The cubic root of 64390016 is about 400.8108883726.

The spelling of 64390016 in words is "sixty-four million, three hundred ninety thousand, sixteen".

Divisors: 1 2 4 8 16 17 32 34 64 68 127 128 136 233 254 272 466 508 544 932 1016 1088 1864 2032 2159 2176 3728 3961 4064 4318 7456 7922 8128 8636 14912 15844 16256 17272 29591 29824 31688 34544 59182 63376 69088 118364 126752 138176 236728 253504 276352 473456 503047 507008 946912 1006094 1893824 2012188 3787648 4024376 8048752 16097504 32195008 64390016