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64482264 = 23337113877
BaseRepresentation
bin1111010111111…
…0101111011000
311111100001001000
43311332233120
5113001413024
610222025000
71412042640
oct365765730
9144301030
1064482264
1133442530
1219718160
13104891b2
1487c7520
1559dacc9
hex3d7ebd8

64482264 has 128 divisors (see below), whose sum is σ = 223372800. Its totient is φ = 16744320.

The previous prime is 64482251. The next prime is 64482269. The reversal of 64482264 is 46228446.

It is a happy number.

64482264 is a `hidden beast` number, since 644 + 8 + 2 + 2 + 6 + 4 = 666.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64482269) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14694 + ... + 18570.

It is an arithmetic number, because the mean of its divisors is an integer number (1745100).

Almost surely, 264482264 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 64482264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111686400).

64482264 is an abundant number, since it is smaller than the sum of its proper divisors (158890536).

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

64482264 is a wasteful number, since it uses less digits than its factorization.

64482264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3910 (or 3900 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

The square root of 64482264 is about 8030.0849310577. The cubic root of 64482264 is about 401.0022035397.

It can be divided in two parts, 64482 and 264, that added together give a palindrome (64746).

The spelling of 64482264 in words is "sixty-four million, four hundred eighty-two thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 18 21 22 24 27 28 33 36 42 44 54 56 63 66 72 77 84 88 99 108 126 132 154 168 189 198 216 231 252 264 297 308 378 396 462 504 594 616 693 756 792 924 1188 1386 1512 1848 2079 2376 2772 3877 4158 5544 7754 8316 11631 15508 16632 23262 27139 31016 34893 42647 46524 54278 69786 81417 85294 93048 104679 108556 127941 139572 162834 170588 209358 217112 244251 255882 279144 298529 325668 341176 383823 418716 488502 511764 597058 651336 732753 767646 837432 895587 977004 1023528 1151469 1194116 1465506 1535292 1791174 1954008 2302938 2388232 2686761 2931012 3070584 3582348 4605876 5373522 5862024 7164696 8060283 9211752 10747044 16120566 21494088 32241132 64482264