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63748896 = 253312691
BaseRepresentation
bin1111001100101…
…1101100100000
311102221210001020
43303023230200
5112304431041
610154205440
71402566561
oct363135440
9142853036
1063748896
1132a91542
1219423880
1310290453
148676168
1558e3866
hex3ccbb20

63748896 has 72 divisors (see below), whose sum is σ = 173163312. Its totient is φ = 20534400.

The previous prime is 63748879. The next prime is 63748903. The reversal of 63748896 is 69884736.

63748896 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 91911 + ... + 92601.

It is an arithmetic number, because the mean of its divisors is an integer number (2405046).

Almost surely, 263748896 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 63748896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86581656).

63748896 is an abundant number, since it is smaller than the sum of its proper divisors (109414416).

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

63748896 is a wasteful number, since it uses less digits than its factorization.

63748896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 766 (or 727 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 51.

The square root of 63748896 is about 7984.2905758746. The cubic root of 63748896 is about 399.4761810002.

The spelling of 63748896 in words is "sixty-three million, seven hundred forty-eight thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 372 496 691 744 961 992 1382 1488 1922 2073 2764 2883 2976 3844 4146 5528 5766 7688 8292 11056 11532 15376 16584 21421 22112 23064 30752 33168 42842 46128 64263 66336 85684 92256 128526 171368 257052 342736 514104 664051 685472 1028208 1328102 1992153 2056416 2656204 3984306 5312408 7968612 10624816 15937224 21249632 31874448 63748896