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63993792 = 263794219
BaseRepresentation
bin1111010000011…
…1011111000000
311110102012222110
43310013133000
5112340300132
610203335320
71404636552
oct364073700
9143365873
1063993792
1133139535
1219521540
1310347a65
1486db4d2
1559411cc
hex3d077c0

63993792 has 56 divisors (see below), whose sum is σ = 171500800. Its totient is φ = 21056256.

The previous prime is 63993781. The next prime is 63993803. The reversal of 63993792 is 29739936.

63993792 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (63993781) and next prime (63993803).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 13059 + ... + 17277.

Almost surely, 263993792 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 63993792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85750400).

63993792 is an abundant number, since it is smaller than the sum of its proper divisors (107507008).

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

63993792 is a wasteful number, since it uses less digits than its factorization.

63993792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4313 (or 4303 counting only the distinct ones).

The product of its digits is 551124, while the sum is 48.

The square root of 63993792 is about 7999.6119905905. The cubic root of 63993792 is about 399.9870662485.

The spelling of 63993792 in words is "sixty-three million, nine hundred ninety-three thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 79 96 158 192 237 316 474 632 948 1264 1896 2528 3792 4219 5056 7584 8438 12657 15168 16876 25314 33752 50628 67504 101256 135008 202512 270016 333301 405024 666602 810048 999903 1333204 1999806 2666408 3999612 5332816 7999224 10665632 15998448 21331264 31996896 63993792