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64211616 = 253473539
BaseRepresentation
bin1111010011110…
…0101010100000
311110211021210000
43310330222200
5112414232431
610212140000
71406534610
oct364745240
9143737700
1064211616
1133278157
1219607600
13103c2c51
148756a40
1559859e6
hex3d3caa0

64211616 has 120 divisors (see below), whose sum is σ = 215883360. Its totient is φ = 18340992.

The previous prime is 64211611. The next prime is 64211627. The reversal of 64211616 is 61611246.

64211616 is a `hidden beast` number, since 6 + 42 + 1 + 1 + 616 = 666.

64211616 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 64211616.

It is not an unprimeable number, because it can be changed into a prime (64211611) 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 19 ways as a sum of consecutive naturals, for example, 16375 + ... + 19913.

It is an arithmetic number, because the mean of its divisors is an integer number (1799028).

Almost surely, 264211616 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 64211616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107941680).

64211616 is an abundant number, since it is smaller than the sum of its proper divisors (151671744).

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

64211616 is a wasteful number, since it uses less digits than its factorization.

64211616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3568 (or 3551 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 64211616 is about 8013.2150850954. The cubic root of 64211616 is about 400.4403816487.

The spelling of 64211616 in words is "sixty-four million, two hundred eleven thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 81 84 96 108 112 126 144 162 168 189 216 224 252 288 324 336 378 432 504 567 648 672 756 864 1008 1134 1296 1512 2016 2268 2592 3024 3539 4536 6048 7078 9072 10617 14156 18144 21234 24773 28312 31851 42468 49546 56624 63702 74319 84936 95553 99092 113248 127404 148638 169872 191106 198184 222957 254808 286659 297276 339744 382212 396368 445914 509616 573318 594552 668871 764424 792736 891828 1019232 1146636 1189104 1337742 1528848 1783656 2006613 2293272 2378208 2675484 3057696 3567312 4013226 4586544 5350968 7134624 8026452 9173088 10701936 16052904 21403872 32105808 64211616