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64253016 = 23323789271
BaseRepresentation
bin1111010100011…
…0110001011000
311110220101120100
43311012301120
5112422044031
610213055400
71410066402
oct365066130
9143811510
1064253016
11332a6273
1219627560
1310408a49
148767b72
155992de6
hex3d46c58

64253016 has 96 divisors (see below), whose sum is σ = 181396800. Its totient is φ = 20528640.

The previous prime is 64252997. The next prime is 64253017. The reversal of 64253016 is 61035246.

64253016 is a `hidden beast` number, since 642 + 5 + 3 + 0 + 16 = 666.

64253016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64253017) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 236961 + ... + 237231.

It is an arithmetic number, because the mean of its divisors is an integer number (1889550).

Almost surely, 264253016 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 64253016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90698400).

64253016 is an abundant number, since it is smaller than the sum of its proper divisors (117143784).

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

64253016 is a wasteful number, since it uses less digits than its factorization.

64253016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 64253016 is about 8015.7979016440. The cubic root of 64253016 is about 400.5264235583.

The spelling of 64253016 in words is "sixty-four million, two hundred fifty-three thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 72 74 89 111 148 178 222 267 271 296 333 356 444 534 542 666 712 801 813 888 1068 1084 1332 1602 1626 2136 2168 2439 2664 3204 3252 3293 4878 6408 6504 6586 9756 9879 10027 13172 19512 19758 20054 24119 26344 29637 30081 39516 40108 48238 59274 60162 72357 79032 80216 90243 96476 118548 120324 144714 180486 192952 217071 237096 240648 289428 360972 434142 578856 721944 868284 892403 1736568 1784806 2677209 3569612 5354418 7139224 8031627 10708836 16063254 21417672 32126508 64253016