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64295328 = 253719433
BaseRepresentation
bin1111010101000…
…1000110100000
311110222112121110
43311101012200
5112424422303
610214023320
71410333636
oct365210640
9143875543
1064295328
1133325039
1219647b40
1310422096
148779356
1559a0703
hex3d511a0

64295328 has 48 divisors (see below), whose sum is σ = 171170496. Its totient is φ = 21127680.

The previous prime is 64295323. The next prime is 64295351. The reversal of 64295328 is 82359246.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (64295323) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 2100 + ... + 11532.

It is an arithmetic number, because the mean of its divisors is an integer number (3566052).

Almost surely, 264295328 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 64295328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85585248).

64295328 is an abundant number, since it is smaller than the sum of its proper divisors (106875168).

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

64295328 is a wasteful number, since it uses less digits than its factorization.

64295328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9517 (or 9509 counting only the distinct ones).

The product of its digits is 103680, while the sum is 39.

The square root of 64295328 is about 8018.4367553782. The cubic root of 64295328 is about 400.6143227027.

The spelling of 64295328 in words is "sixty-four million, two hundred ninety-five thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 71 96 142 213 284 426 568 852 1136 1704 2272 3408 6816 9433 18866 28299 37732 56598 75464 113196 150928 226392 301856 452784 669743 905568 1339486 2009229 2678972 4018458 5357944 8036916 10715888 16073832 21431776 32147664 64295328