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64116264 = 23337103701
BaseRepresentation
bin1111010010010…
…1011000101000
311110122102222110
43310211120220
5112403210024
610210122320
71405656612
oct364453050
9143572873
1064116264
1133212553
12195803a0
131038b724
14872ddb2
155967629
hex3d25628

64116264 has 64 divisors (see below), whose sum is σ = 166458240. Its totient is φ = 20563200.

The previous prime is 64116233. The next prime is 64116271. The reversal of 64116264 is 46261146.

It is a super-2 number, since 2×641162642 = 8221790618635392, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91114 + ... + 91814.

It is an arithmetic number, because the mean of its divisors is an integer number (2600910).

Almost surely, 264116264 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 64116264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83229120).

64116264 is an abundant number, since it is smaller than the sum of its proper divisors (102341976).

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

64116264 is a wasteful number, since it uses less digits than its factorization.

64116264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 850 (or 846 counting only the distinct ones).

The product of its digits is 6912, while the sum is 30.

The square root of 64116264 is about 8007.2632028678. The cubic root of 64116264 is about 400.2420701422.

The spelling of 64116264 in words is "sixty-four million, one hundred sixteen thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 24 37 74 103 111 148 206 222 296 309 412 444 618 701 824 888 1236 1402 2103 2472 2804 3811 4206 5608 7622 8412 11433 15244 16824 22866 25937 30488 45732 51874 72203 77811 91464 103748 144406 155622 207496 216609 288812 311244 433218 577624 622488 866436 1732872 2671511 5343022 8014533 10686044 16029066 21372088 32058132 64116264