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64490976 = 25321120357
BaseRepresentation
bin1111011000000…
…0110111100000
311111100110222200
43312000313200
5113002202401
610222133200
71412110224
oct366006740
9144313880
1064490976
1133449030
1219721200
1310490154
1487ca784
1559dd686
hex3d80de0

64490976 has 72 divisors (see below), whose sum is σ = 200078424. Its totient is φ = 19541760.

The previous prime is 64490957. The next prime is 64490977. The reversal of 64490976 is 67909446.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64490977) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7011 + ... + 13346.

It is an arithmetic number, because the mean of its divisors is an integer number (2778867).

Almost surely, 264490976 is an apocalyptic number.

64490976 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

64490976 is an abundant number, since it is smaller than the sum of its proper divisors (135587448).

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

64490976 is a wasteful number, since it uses less digits than its factorization.

64490976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20384 (or 20373 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 64490976 is about 8030.6273727524. The cubic root of 64490976 is about 401.0202621171.

The spelling of 64490976 in words is "sixty-four million, four hundred ninety thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 528 792 1056 1584 3168 20357 40714 61071 81428 122142 162856 183213 223927 244284 325712 366426 447854 488568 651424 671781 732852 895708 977136 1343562 1465704 1791416 1954272 2015343 2687124 2931408 3582832 4030686 5374248 5862816 7165664 8061372 10748496 16122744 21496992 32245488 64490976