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64044216 = 2333479619
BaseRepresentation
bin1111010001001…
…1110010111000
311110111210011000
43310103302320
5112343403331
610204405000
71405236555
oct364236270
9143453130
1064044216
1133173405
1219546760
13103649b2
148711a2c
1559510e6
hex3d13cb8

64044216 has 64 divisors (see below), whose sum is σ = 178560000. Its totient is φ = 21269088.

The previous prime is 64044203. The next prime is 64044217. The reversal of 64044216 is 61244046.

64044216 is a `hidden beast` number, since 640 + 4 + 4 + 2 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 64044216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64044217) 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, 103155 + ... + 103773.

It is an arithmetic number, because the mean of its divisors is an integer number (2790000).

Almost surely, 264044216 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 64044216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89280000).

64044216 is an abundant number, since it is smaller than the sum of its proper divisors (114515784).

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

64044216 is a wasteful number, since it uses less digits than its factorization.

64044216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1113 (or 1103 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 64044216 is about 8002.7630228565. The cubic root of 64044216 is about 400.0920954611.

The spelling of 64044216 in words is "sixty-four million, forty-four thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 479 619 958 1238 1437 1857 1916 2476 2874 3714 3832 4311 4952 5571 5748 7428 8622 11142 11496 12933 14856 16713 17244 22284 25866 33426 34488 44568 51732 66852 103464 133704 296501 593002 889503 1186004 1779006 2372008 2668509 3558012 5337018 7116024 8005527 10674036 16011054 21348072 32022108 64044216