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64579905 = 325131011093
BaseRepresentation
bin1111011001011…
…0100101000001
311111111222222100
43312112211001
5113013024110
610224101013
71412630415
oct366264501
9144458870
1064579905
11334a9925
1219764769
13104c1780
148810d45
155a09bc0
hex3d96941

64579905 has 48 divisors (see below), whose sum is σ = 121854096. Its totient is φ = 31449600.

The previous prime is 64579901. The next prime is 64579919. The reversal of 64579905 is 50997546.

It is a happy number.

64579905 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 7969329 + 56610576 = 2823^2 + 7524^2 .

It is not a de Polignac number, because 64579905 - 22 = 64579901 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (64579901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 58539 + ... + 59631.

It is an arithmetic number, because the mean of its divisors is an integer number (2538627).

Almost surely, 264579905 is an apocalyptic number.

64579905 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

64579905 is a deficient number, since it is larger than the sum of its proper divisors (57274191).

64579905 is a wasteful number, since it uses less digits than its factorization.

64579905 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1218 (or 1215 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The square root of 64579905 is about 8036.1623303664. The cubic root of 64579905 is about 401.2045046971.

The spelling of 64579905 in words is "sixty-four million, five hundred seventy-nine thousand, nine hundred five".

Divisors: 1 3 5 9 13 15 39 45 65 101 117 195 303 505 585 909 1093 1313 1515 3279 3939 4545 5465 6565 9837 11817 14209 16395 19695 42627 49185 59085 71045 110393 127881 213135 331179 551965 639405 993537 1435109 1655895 4305327 4967685 7175545 12915981 21526635 64579905