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64456992 = 2533611223
BaseRepresentation
bin1111010111100…
…0100100100000
311111021202101000
43311320210200
5113000110432
610221312000
71411606155
oct365704440
9144252330
1064456992
1133425546
1219705600
131047a842
1487bc22c
1559d357c
hex3d78920

64456992 has 96 divisors (see below), whose sum is σ = 191237760. Its totient is φ = 21116160.

The previous prime is 64456991. The next prime is 64457027. The reversal of 64456992 is 29965446.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (64456991) 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, 52093 + ... + 53315.

It is an arithmetic number, because the mean of its divisors is an integer number (1992060).

Almost surely, 264456992 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 64456992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95618880).

64456992 is an abundant number, since it is smaller than the sum of its proper divisors (126780768).

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

64456992 is a wasteful number, since it uses less digits than its factorization.

64456992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1303 (or 1289 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The square root of 64456992 is about 8028.5111944868. The cubic root of 64456992 is about 400.9498095362.

The spelling of 64456992 in words is "sixty-four million, four hundred fifty-six thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 61 72 96 108 122 144 183 216 244 288 366 432 488 549 732 864 976 1098 1223 1464 1647 1952 2196 2446 2928 3294 3669 4392 4892 5856 6588 7338 8784 9784 11007 13176 14676 17568 19568 22014 26352 29352 33021 39136 44028 52704 58704 66042 74603 88056 117408 132084 149206 176112 223809 264168 298412 352224 447618 528336 596824 671427 895236 1056672 1193648 1342854 1790472 2014281 2387296 2685708 3580944 4028562 5371416 7161888 8057124 10742832 16114248 21485664 32228496 64456992