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63896625 = 32531317257
BaseRepresentation
bin1111001110111…
…1110000110001
311110020021200200
43303233300301
5112324143000
610201305413
71404053352
oct363576061
9143207620
1063896625
1133082531
1219495269
1310312770
1486b3d29
155922500
hex3cefc31

63896625 has 96 divisors (see below), whose sum is σ = 131852448. Its totient is φ = 29491200.

The previous prime is 63896617. The next prime is 63896633. The reversal of 63896625 is 52669836.

It is a happy number.

63896625 is a `hidden beast` number, since 638 + 9 + 6 + 6 + 2 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (63896617) and next prime (63896633).

It can be written as a sum of positive squares in 16 ways, for example, as 27499536 + 36397089 = 5244^2 + 6033^2 .

It is not a de Polignac number, because 63896625 - 23 = 63896617 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 248497 + ... + 248753.

It is an arithmetic number, because the mean of its divisors is an integer number (1373463).

Almost surely, 263896625 is an apocalyptic number.

63896625 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

63896625 is an abundant number, since it is smaller than the sum of its proper divisors (67955823).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

63896625 is a wasteful number, since it uses less digits than its factorization.

63896625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 295 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The square root of 63896625 is about 7993.5364514087. The cubic root of 63896625 is about 399.7845193577.

The spelling of 63896625 in words is "sixty-three million, eight hundred ninety-six thousand, six hundred twenty-five".

Divisors: 1 3 5 9 13 15 17 25 39 45 51 65 75 85 117 125 153 195 221 225 255 257 325 375 425 585 663 765 771 975 1105 1125 1275 1285 1625 1989 2125 2313 2925 3315 3341 3825 3855 4369 4875 5525 6375 6425 9945 10023 11565 13107 14625 16575 16705 19125 19275 21845 27625 30069 32125 39321 49725 50115 56797 57825 65535 82875 83525 96375 109225 150345 170391 196605 248625 250575 283985 289125 327675 417625 511173 546125 751725 851955 983025 1252875 1419925 1638375 2555865 3758625 4259775 4915125 7099625 12779325 21298875 63896625