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64275912 = 23321723089
BaseRepresentation
bin1111010100110…
…0010111001000
311110221112222100
43311030113020
5112423312122
610213353400
71410223221
oct365142710
9143845870
1064275912
1133311498
1219638860
13104162ac
148772248
155999aac
hex3d4c5c8

64275912 has 72 divisors (see below), whose sum is σ = 184982850. Its totient is φ = 20158464.

The previous prime is 64275907. The next prime is 64275923. The reversal of 64275912 is 21957246.

64275912 is a `hidden beast` number, since 64 + 2 + 7 + 591 + 2 = 666.

64275912 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 62821476 + 1454436 = 7926^2 + 1206^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a plaindrome in base 15.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 19264 + ... + 22352.

Almost surely, 264275912 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 64275912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92491425).

64275912 is an abundant number, since it is smaller than the sum of its proper divisors (120706938).

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

64275912 is a wasteful number, since it uses less digits than its factorization.

64275912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3135 (or 3111 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 64275912 is about 8017.2259541565. The cubic root of 64275912 is about 400.5739926039.

The spelling of 64275912 in words is "sixty-four million, two hundred seventy-five thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 289 306 408 578 612 867 1156 1224 1734 2312 2601 3089 3468 5202 6178 6936 9267 10404 12356 18534 20808 24712 27801 37068 52513 55602 74136 105026 111204 157539 210052 222408 315078 420104 472617 630156 892721 945234 1260312 1785442 1890468 2678163 3570884 3780936 5356326 7141768 8034489 10712652 16068978 21425304 32137956 64275912