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64405125 = 34536361
BaseRepresentation
bin1111010110101…
…1111010000101
311111012010020000
43311223322011
5112441431000
610220231513
71411302021
oct365537205
9144163200
1064405125
113339a584
121969b599
1310460055
1487a7381
1559c3000
hex3d6be85

64405125 has 40 divisors (see below), whose sum is σ = 120089112. Its totient is φ = 34344000.

The previous prime is 64405109. The next prime is 64405127. The reversal of 64405125 is 52150446.

64405125 is a `hidden beast` number, since 644 + 0 + 5 + 12 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7387524 + 57017601 = 2718^2 + 7551^2 .

It is not a de Polignac number, because 64405125 - 24 = 64405109 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64405127) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6945 + ... + 13305.

Almost surely, 264405125 is an apocalyptic number.

It is an amenable number.

64405125 is a deficient number, since it is larger than the sum of its proper divisors (55683987).

64405125 is an equidigital number, since it uses as much as digits as its factorization.

64405125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6388 (or 6369 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 64405125 is about 8025.2803689342. The cubic root of 64405125 is about 400.8422357693.

The spelling of 64405125 in words is "sixty-four million, four hundred five thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 125 135 225 375 405 675 1125 2025 3375 6361 10125 19083 31805 57249 95415 159025 171747 286245 477075 515241 795125 858735 1431225 2385375 2576205 4293675 7156125 12881025 21468375 64405125