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64036992 = 2731967131
BaseRepresentation
bin1111010001001…
…0000010000000
311110111102020110
43310102002000
5112343140432
610204311320
71405206525
oct364220200
9143442213
1064036992
1133168a38
1219542540
1310361616
14870d14c
15594ddcc
hex3d12080

64036992 has 128 divisors (see below), whose sum is σ = 183110400. Its totient is φ = 19768320.

The previous prime is 64036981. The next prime is 64036997. The reversal of 64036992 is 29963046.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 64036992.

It is not an unprimeable number, because it can be changed into a prime (64036997) 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, 488767 + ... + 488897.

It is an arithmetic number, because the mean of its divisors is an integer number (1430550).

Almost surely, 264036992 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 64036992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91555200).

64036992 is an abundant number, since it is smaller than the sum of its proper divisors (119073408).

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

64036992 is a wasteful number, since it uses less digits than its factorization.

64036992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 39.

The square root of 64036992 is about 8002.3116660125. The cubic root of 64036992 is about 400.0770518233.

The spelling of 64036992 in words is "sixty-four million, thirty-six thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 67 76 96 114 128 131 134 152 192 201 228 262 268 304 384 393 402 456 524 536 608 786 804 912 1048 1072 1216 1273 1572 1608 1824 2096 2144 2432 2489 2546 3144 3216 3648 3819 4192 4288 4978 5092 6288 6432 7296 7467 7638 8384 8576 8777 9956 10184 12576 12864 14934 15276 16768 17554 19912 20368 25152 25728 26331 29868 30552 35108 39824 40736 50304 52662 59736 61104 70216 79648 81472 105324 119472 122208 140432 159296 162944 166763 210648 238944 244416 280864 318592 333526 421296 477888 488832 500289 561728 667052 842592 955776 1000578 1123456 1334104 1685184 2001156 2668208 3370368 4002312 5336416 8004624 10672832 16009248 21345664 32018496 64036992