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64097064 = 2332890237
BaseRepresentation
bin1111010010000…
…0101100101000
311110121110122100
43310200230220
5112402101224
610205453400
71405546623
oct364405450
9143543570
1064097064
11331aa089
1219571260
1310382a75
148726dba
155961ac9
hex3d20b28

64097064 has 24 divisors (see below), whose sum is σ = 173596410. Its totient is φ = 21365664.

The previous prime is 64097053. The next prime is 64097081. The reversal of 64097064 is 46079046.

64097064 is a `hidden beast` number, since 640 + 9 + 7 + 0 + 6 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 44116164 + 19980900 = 6642^2 + 4470^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×640970642 = 8216867226840192, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 445047 + ... + 445190.

Almost surely, 264097064 is an apocalyptic number.

It is an amenable number.

64097064 is an abundant number, since it is smaller than the sum of its proper divisors (109499346).

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

64097064 is a wasteful number, since it uses less digits than its factorization.

64097064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 890249 (or 890242 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 64097064 is about 8006.0642015912. The cubic root of 64097064 is about 400.2021145238.

The spelling of 64097064 in words is "sixty-four million, ninety-seven thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 890237 1780474 2670711 3560948 5341422 7121896 8012133 10682844 16024266 21365688 32048532 64097064