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64688568 = 23373112421
BaseRepresentation
bin1111011011000…
…1000110111000
311111201112000220
43312301012320
5113030013233
610230300040
71413562260
oct366610670
9144645026
1064688568
113357352a
12197b7620
131052c079
14883c7a0
155a2beb3
hex3db11b8

64688568 has 64 divisors (see below), whose sum is σ = 190801920. Its totient is φ = 17884800.

The previous prime is 64688563. The next prime is 64688579. The reversal of 64688568 is 86588646.

It is a super-2 number, since 2×646885682 = 8369221659781248, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 64688568.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64688563) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1003 + ... + 11418.

It is an arithmetic number, because the mean of its divisors is an integer number (2981280).

Almost surely, 264688568 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 64688568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95400960).

64688568 is an abundant number, since it is smaller than the sum of its proper divisors (126113352).

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

64688568 is a wasteful number, since it uses less digits than its factorization.

64688568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12468 (or 12464 counting only the distinct ones).

The product of its digits is 2211840, while the sum is 51.

The square root of 64688568 is about 8042.9203651410. The cubic root of 64688568 is about 401.4294026027.

It can be divided in two parts, 646885 and 68, that added together give a triangular number (646953 = T1137).

The spelling of 64688568 in words is "sixty-four million, six hundred eighty-eight thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 31 42 56 62 84 93 124 168 186 217 248 372 434 651 744 868 1302 1736 2604 5208 12421 24842 37263 49684 74526 86947 99368 149052 173894 260841 298104 347788 385051 521682 695576 770102 1043364 1155153 1540204 2086728 2310306 2695357 3080408 4620612 5390714 8086071 9241224 10781428 16172142 21562856 32344284 64688568