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63965696 = 29177349
BaseRepresentation
bin1111010000000…
…0101000000000
311110100210102212
43310000220000
5112333400241
610203001252
71404461624
oct364005000
9143323385
1063965696
113311a413
1219509228
1310338032
1486d1184
155937beb
hex3d00a00

63965696 has 40 divisors (see below), whose sum is σ = 135342900. Its totient is φ = 30097408.

The previous prime is 63965689. The next prime is 63965701. The reversal of 63965696 is 69656936.

It can be written as a sum of positive squares in 2 ways, for example, as 60217600 + 3748096 = 7760^2 + 1936^2 .

It is a super-2 number, since 2×639656962 = 8183220529528832, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5030 + ... + 12378.

Almost surely, 263965696 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 63965696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67671450).

63965696 is an abundant number, since it is smaller than the sum of its proper divisors (71377204).

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

63965696 is an equidigital number, since it uses as much as digits as its factorization.

63965696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7384 (or 7368 counting only the distinct ones).

The product of its digits is 1574640, while the sum is 50.

The square root of 63965696 is about 7997.8557126270. The cubic root of 63965696 is about 399.9285205608.

The spelling of 63965696 in words is "sixty-three million, nine hundred sixty-five thousand, six hundred ninety-six".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 512 544 1088 2176 4352 7349 8704 14698 29396 58792 117584 124933 235168 249866 470336 499732 940672 999464 1881344 1998928 3762688 3997856 7995712 15991424 31982848 63965696