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64001625 = 3531031657
BaseRepresentation
bin1111010000100…
…1011001011001
311110102121201120
43310021121121
5112341023000
610203435453
71405001442
oct364113131
9143377646
1064001625
1133144406
1219525b89
131034b4ac
1487002c9
1559436a0
hex3d09659

64001625 has 32 divisors (see below), whose sum is σ = 107597568. Its totient is φ = 33782400.

The previous prime is 64001621. The next prime is 64001657. The reversal of 64001625 is 52610046.

64001625 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 64001625 - 22 = 64001621 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 64001595 and 64001604.

It is not an unprimeable number, because it can be changed into a prime (64001621) 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 31 ways as a sum of consecutive naturals, for example, 37797 + ... + 39453.

It is an arithmetic number, because the mean of its divisors is an integer number (3362424).

Almost surely, 264001625 is an apocalyptic number.

It is an amenable number.

64001625 is a deficient number, since it is larger than the sum of its proper divisors (43595943).

64001625 is a wasteful number, since it uses less digits than its factorization.

64001625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1778 (or 1768 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 64001625 is about 8000.1015618553. The cubic root of 64001625 is about 400.0033853880.

The spelling of 64001625 in words is "sixty-four million, one thousand, six hundred twenty-five".

Divisors: 1 3 5 15 25 75 103 125 309 375 515 1545 1657 2575 4971 7725 8285 12875 24855 38625 41425 124275 170671 207125 512013 621375 853355 2560065 4266775 12800325 21333875 64001625