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63083968 = 261099043
BaseRepresentation
bin1111000010100…
…1010111000000
311101200222221021
43300221113000
5112122141333
610132035224
71364130163
oct360512700
9141628837
1063083968
1132677a12
1219162b14
13100b98bc
148541ada
15581182d
hex3c295c0

63083968 has 28 divisors (see below), whose sum is σ = 126344680. Its totient is φ = 31249152.

The previous prime is 63083947. The next prime is 63083983. The reversal of 63083968 is 86938036.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2455 + ... + 11497.

It is an arithmetic number, because the mean of its divisors is an integer number (4512310).

Almost surely, 263083968 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 63083968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63172340).

63083968 is an abundant number, since it is smaller than the sum of its proper divisors (63260712).

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

63083968 is a wasteful number, since it uses less digits than its factorization.

63083968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9164 (or 9154 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 43.

The square root of 63083968 is about 7942.5416586884. The cubic root of 63083968 is about 398.0824219257.

The spelling of 63083968 in words is "sixty-three million, eighty-three thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 16 32 64 109 218 436 872 1744 3488 6976 9043 18086 36172 72344 144688 289376 578752 985687 1971374 3942748 7885496 15770992 31541984 63083968