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64693408 = 2513413793
BaseRepresentation
bin1111011011001…
…0010010100000
311111201202200011
43312302102200
5113030142113
610230334304
71413612343
oct366622240
9144652604
1064693408
113357712a
12197ba394
1310531330
14884045a
155a2d63d
hex3db24a0

64693408 has 48 divisors (see below), whose sum is σ = 140544936. Its totient is φ = 29122560.

The previous prime is 64693399. The next prime is 64693439. The reversal of 64693408 is 80439646.

It can be written as a sum of positive squares in 4 ways, for example, as 16418704 + 48274704 = 4052^2 + 6948^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15160 + ... + 18952.

Almost surely, 264693408 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 64693408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70272468).

64693408 is an abundant number, since it is smaller than the sum of its proper divisors (75851528).

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

64693408 is a wasteful number, since it uses less digits than its factorization.

64693408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3857 (or 3849 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 40.

The square root of 64693408 is about 8043.2212452475. The cubic root of 64693408 is about 401.4394140051.

The spelling of 64693408 in words is "sixty-four million, six hundred ninety-three thousand, four hundred eight".

Divisors: 1 2 4 8 13 16 26 32 41 52 82 104 164 208 328 416 533 656 1066 1312 2132 3793 4264 7586 8528 15172 17056 30344 49309 60688 98618 121376 155513 197236 311026 394472 622052 788944 1244104 1577888 2021669 2488208 4043338 4976416 8086676 16173352 32346704 64693408