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64015625 = 5617241
BaseRepresentation
bin1111010000110…
…0110100001001
311110110022221002
43310030310021
5112342000000
610204024345
71405060322
oct364146411
9143408832
1064015625
1133153983
12195320b5
131035498b
148705449
1559478d5
hex3d0cd09

64015625 has 28 divisors (see below), whose sum is σ = 85077036. Its totient is φ = 48000000.

The previous prime is 64015621. The next prime is 64015631. The reversal of 64015625 is 52651046.

It can be written as a sum of positive squares in 14 ways, for example, as 62663056 + 1352569 = 7916^2 + 1163^2 .

It is a sliding number, since 64015625 = 15625 + 64000000 and 1/15625 + 1/64000000 = 0.000064015625.

It is not a de Polignac number, because 64015625 - 22 = 64015621 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (64015621) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 265505 + ... + 265745.

Almost surely, 264015625 is an apocalyptic number.

It is an amenable number.

64015625 is a deficient number, since it is larger than the sum of its proper divisors (21061411).

64015625 is an frugal number, since it uses more digits than its factorization.

64015625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 29.

The square root of 64015625 is about 8000.9765029026. The cubic root of 64015625 is about 400.0325494346.

It can be divided in two parts, 640 and 15625, that multiplied together give a 7-th power (10000000 = 107).

The spelling of 64015625 in words is "sixty-four million, fifteen thousand, six hundred twenty-five".

Divisors: 1 5 17 25 85 125 241 425 625 1205 2125 3125 4097 6025 10625 15625 20485 30125 53125 102425 150625 265625 512125 753125 2560625 3765625 12803125 64015625