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64039296 = 273792111
BaseRepresentation
bin1111010001001…
…0100110000000
311110111112101210
43310102212000
5112343224141
610204330120
71405216326
oct364224600
9143445353
1064039296
113316a742
1219543940
1310362699
14870dd16
15594e916
hex3d12980

64039296 has 64 divisors (see below), whose sum is σ = 172339200. Its totient is φ = 21066240.

The previous prime is 64039259. The next prime is 64039307. The reversal of 64039296 is 69293046.

64039296 = T16 + T17 + ... + T726.

It is a happy number.

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

It is a congruent number.

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, 29281 + ... + 31391.

It is an arithmetic number, because the mean of its divisors is an integer number (2692800).

Almost surely, 264039296 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 64039296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86169600).

64039296 is an abundant number, since it is smaller than the sum of its proper divisors (108299904).

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

64039296 is a wasteful number, since it uses less digits than its factorization.

64039296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2207 (or 2195 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 39.

The square root of 64039296 is about 8002.4556231197. The cubic root of 64039296 is about 400.0818499170.

The spelling of 64039296 in words is "sixty-four million, thirty-nine thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 79 96 128 158 192 237 316 384 474 632 948 1264 1896 2111 2528 3792 4222 5056 6333 7584 8444 10112 12666 15168 16888 25332 30336 33776 50664 67552 101328 135104 166769 202656 270208 333538 405312 500307 667076 810624 1000614 1334152 2001228 2668304 4002456 5336608 8004912 10673216 16009824 21346432 32019648 64039296