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64111296 = 263714703
BaseRepresentation
bin1111010010010…
…0001011000000
311110122012011110
43310210023000
5112403030141
610210043320
71405636254
oct364441300
9143565143
1064111296
1133209847
1219579540
13103893a2
14872c264
155965e16
hex3d242c0

64111296 has 56 divisors (see below), whose sum is σ = 172053504. Its totient is φ = 21064960.

The previous prime is 64111253. The next prime is 64111321. The reversal of 64111296 is 69211146.

It is a happy number.

It is a super-2 number, since 2×641112962 = 8220516549599232, which contains 22 as substring.

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, 11281 + ... + 15983.

It is an arithmetic number, because the mean of its divisors is an integer number (3072384).

Almost surely, 264111296 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 64111296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86026752).

64111296 is an abundant number, since it is smaller than the sum of its proper divisors (107942208).

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

64111296 is a wasteful number, since it uses less digits than its factorization.

64111296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4789 (or 4779 counting only the distinct ones).

The product of its digits is 2592, while the sum is 30.

The square root of 64111296 is about 8006.9529785056. The cubic root of 64111296 is about 400.2317323910.

The spelling of 64111296 in words is "sixty-four million, one hundred eleven thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 71 96 142 192 213 284 426 568 852 1136 1704 2272 3408 4544 4703 6816 9406 13632 14109 18812 28218 37624 56436 75248 112872 150496 225744 300992 333913 451488 667826 902976 1001739 1335652 2003478 2671304 4006956 5342608 8013912 10685216 16027824 21370432 32055648 64111296