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63293892 = 22329239761
BaseRepresentation
bin1111000101110…
…0100111000100
311102002122220020
43301130213010
5112200401032
610140335140
71365663204
oct361344704
9142078806
1063293892
1132800702
12192444b0
131016130c
148598404
155853b2c
hex3c5c9c4

63293892 has 48 divisors (see below), whose sum is σ = 153619200. Its totient is φ = 20258560.

The previous prime is 63293851. The next prime is 63293897. The reversal of 63293892 is 29839236.

63293892 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×632938922 = 8012233529015328, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (63293897) 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 15 ways as a sum of consecutive naturals, for example, 82792 + ... + 83552.

It is an arithmetic number, because the mean of its divisors is an integer number (3200400).

Almost surely, 263293892 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63293892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76809600).

63293892 is an abundant number, since it is smaller than the sum of its proper divisors (90325308).

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

63293892 is a wasteful number, since it uses less digits than its factorization.

63293892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1036 (or 1034 counting only the distinct ones).

The product of its digits is 139968, while the sum is 42.

The square root of 63293892 is about 7955.7458481276. The cubic root of 63293892 is about 398.5234982289.

Subtracting from 63293892 its reverse (29839236), we obtain a square (33454656 = 57842).

The spelling of 63293892 in words is "sixty-three million, two hundred ninety-three thousand, eight hundred ninety-two".

Divisors: 1 2 3 4 6 12 29 58 87 116 174 239 348 478 717 761 956 1434 1522 2283 2868 3044 4566 6931 9132 13862 20793 22069 27724 41586 44138 66207 83172 88276 132414 181879 264828 363758 545637 727516 1091274 2182548 5274491 10548982 15823473 21097964 31646946 63293892