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64584225 = 3252417001
BaseRepresentation
bin1111011001011…
…1101000100001
311111112012220100
43312113220201
5113013143400
610224133013
71412646126
oct366275041
9144465810
1064584225
11335020a2
1219767169
13104c3724
14881274d
155a0b100
hex3d97a21

64584225 has 36 divisors (see below), whose sum is σ = 118515852. Its totient is φ = 33600000.

The previous prime is 64584137. The next prime is 64584259. The reversal of 64584225 is 52248546.

It is a happy number.

64584225 is a `hidden beast` number, since 645 + 8 + 4 + 2 + 2 + 5 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 12873744 + 51710481 = 3588^2 + 7191^2 .

It is not a de Polignac number, because 64584225 - 213 = 64576033 is a prime.

It is a super-2 number, since 2×645842252 = 8342244237701250, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 64584225.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5725 + ... + 12725.

It is an arithmetic number, because the mean of its divisors is an integer number (3292107).

Almost surely, 264584225 is an apocalyptic number.

It is an amenable number.

64584225 is a deficient number, since it is larger than the sum of its proper divisors (53931627).

64584225 is a wasteful number, since it uses less digits than its factorization.

64584225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7058 (or 7050 counting only the distinct ones).

The product of its digits is 76800, while the sum is 36.

The square root of 64584225 is about 8036.4311108850. The cubic root of 64584225 is about 401.2134505387.

The spelling of 64584225 in words is "sixty-four million, five hundred eighty-four thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 41 45 75 123 205 225 369 615 1025 1845 3075 7001 9225 21003 35005 63009 105015 175025 287041 315045 525075 861123 1435205 1575225 2583369 4305615 7176025 12916845 21528075 64584225