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63004257 = 3389157167
BaseRepresentation
bin1111000001010…
…1111001100001
311101112221121000
43300111321201
5112112114012
610130222213
71363345611
oct360257141
9141487530
1063004257
1132623038
1219124969
131008c534
148520a41
1557e7ddc
hex3c15e61

63004257 has 32 divisors (see below), whose sum is σ = 95558400. Its totient is φ = 41019264.

The previous prime is 63004243. The next prime is 63004273. The reversal of 63004257 is 75240036.

It is a happy number.

63004257 is a `hidden beast` number, since 630 + 0 + 4 + 25 + 7 = 666.

63004257 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 63004257 - 219 = 62479969 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 63004257.

It is not an unprimeable number, because it can be changed into a prime (63004217) 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, 377188 + ... + 377354.

It is an arithmetic number, because the mean of its divisors is an integer number (2986200).

Almost surely, 263004257 is an apocalyptic number.

It is an amenable number.

63004257 is a deficient number, since it is larger than the sum of its proper divisors (32554143).

63004257 is a wasteful number, since it uses less digits than its factorization.

63004257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 63004257 is about 7937.5220944574. The cubic root of 63004257 is about 397.9146829404.

The spelling of 63004257 in words is "sixty-three million, four thousand, two hundred fifty-seven".

Divisors: 1 3 9 27 89 157 167 267 471 501 801 1413 1503 2403 4239 4509 13973 14863 26219 41919 44589 78657 125757 133767 235971 377271 401301 707913 2333491 7000473 21001419 63004257