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64002025 = 5217413673
BaseRepresentation
bin1111010000100…
…1011111101001
311110102122021101
43310021133221
5112341031100
610203441401
71405002553
oct364113751
9143378241
1064002025
113314473a
1219526261
131034b729
1487004d3
15594386a
hex3d097e9

64002025 has 24 divisors (see below), whose sum is σ = 86103864. Its totient is φ = 47001600.

The previous prime is 64001941. The next prime is 64002061. The reversal of 64002025 is 52020046.

It can be written as a sum of positive squares in 12 ways, for example, as 41306329 + 22695696 = 6427^2 + 4764^2 .

It is not a de Polignac number, because 64002025 - 221 = 61904873 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 64001993 and 64002011.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15589 + ... + 19261.

It is an arithmetic number, because the mean of its divisors is an integer number (3587661).

Almost surely, 264002025 is an apocalyptic number.

It is an amenable number.

64002025 is a deficient number, since it is larger than the sum of its proper divisors (22101839).

64002025 is a wasteful number, since it uses less digits than its factorization.

64002025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3741 (or 3736 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 64002025 is about 8000.1265614989. The cubic root of 64002025 is about 400.0042187055.

It can be divided in two parts, 6400 and 2025, that multiplied together give a 4-th power (12960000 = 604).

The spelling of 64002025 in words is "sixty-four million, two thousand, twenty-five".

Divisors: 1 5 17 25 41 85 205 425 697 1025 3485 3673 17425 18365 62441 91825 150593 312205 752965 1561025 2560081 3764825 12800405 64002025