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64012284 = 22327389653
BaseRepresentation
bin1111010000101…
…1111111111100
311110110011100100
43310023333330
5112341343114
610204001100
71405044510
oct364137774
9143404310
1064012284
1133151416
1219530190
13103532bb
148704140
155946909
hex3d0bffc

64012284 has 72 divisors (see below), whose sum is σ = 185683680. Its totient is φ = 18214272.

The previous prime is 64012253. The next prime is 64012297. The reversal of 64012284 is 48221046.

64012284 is a `hidden beast` number, since 640 + 12 + 2 + 8 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 97702 + ... + 98354.

It is an arithmetic number, because the mean of its divisors is an integer number (2578940).

It is the magic constant of a 504 × 504 magic square.

Almost surely, 264012284 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 64012284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92841840).

64012284 is an abundant number, since it is smaller than the sum of its proper divisors (121671396).

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

64012284 is a wasteful number, since it uses less digits than its factorization.

64012284 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1059 (or 1054 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 64012284 is about 8000.7677131635. The cubic root of 64012284 is about 400.0255900295.

The spelling of 64012284 in words is "sixty-four million, twelve thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 389 653 778 1167 1306 1556 1959 2334 2612 2723 3501 3918 4571 4668 5446 5877 7002 7836 8169 9142 10892 11754 13713 14004 16338 18284 23508 24507 27426 32676 41139 49014 54852 82278 98028 164556 254017 508034 762051 1016068 1524102 1778119 2286153 3048204 3556238 4572306 5334357 7112476 9144612 10668714 16003071 21337428 32006142 64012284