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64775412 = 223213612269
BaseRepresentation
bin1111011100011…
…0010011110100
311111212221011100
43313012103310
5113040303122
610232210100
71414403412
oct367062364
9144787140
1064775412
11336227a9
1219839930
131055c760
1488622b2
155a47aac
hex3dc64f4

64775412 has 72 divisors (see below), whose sum is σ = 179302760. Its totient is φ = 19595520.

The previous prime is 64775411. The next prime is 64775437. The reversal of 64775412 is 21457746.

64775412 is a `hidden beast` number, since 647 + 7 + 5 + 4 + 1 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9511056 + 55264356 = 3084^2 + 7434^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64775411) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27414 + ... + 29682.

Almost surely, 264775412 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 64775412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89651380).

64775412 is an abundant number, since it is smaller than the sum of its proper divisors (114527348).

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

64775412 is a wasteful number, since it uses less digits than its factorization.

64775412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2353 (or 2348 counting only the distinct ones).

The product of its digits is 47040, while the sum is 36.

The square root of 64775412 is about 8048.3173396680. The cubic root of 64775412 is about 401.6089610996.

The spelling of 64775412 in words is "sixty-four million, seven hundred seventy-five thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 61 78 117 122 156 183 234 244 366 468 549 732 793 1098 1586 2196 2269 2379 3172 4538 4758 6807 7137 9076 9516 13614 14274 20421 27228 28548 29497 40842 58994 81684 88491 117988 138409 176982 265473 276818 353964 415227 530946 553636 830454 1061892 1245681 1660908 1799317 2491362 3598634 4982724 5397951 7197268 10795902 16193853 21591804 32387706 64775412