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63975040 = 27599961
BaseRepresentation
bin1111010000001…
…0111010000000
311110101021020221
43310002322000
5112334200130
610203112424
71404531103
oct364027200
9143337227
1063975040
1133126438
1219512714
131033c36c
1486d473a
15593a87a
hex3d02e80

63975040 has 32 divisors (see below), whose sum is σ = 152941860. Its totient is φ = 25589760.

The previous prime is 63975019. The next prime is 63975059. The reversal of 63975040 is 4057936.

It can be written as a sum of positive squares in 2 ways, for example, as 61591104 + 2383936 = 7848^2 + 1544^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-3 number, since 3×639750403 (a number of 24 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 63974987 and 63975005.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 49341 + ... + 50620.

Almost surely, 263975040 is an apocalyptic number.

It is an amenable number.

63975040 is an abundant number, since it is smaller than the sum of its proper divisors (88966820).

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

63975040 is an equidigital number, since it uses as much as digits as its factorization.

63975040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99980 (or 99968 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 34.

The square root of 63975040 is about 7998.4398478703. The cubic root of 63975040 is about 399.9479932385.

The spelling of 63975040 in words is "sixty-three million, nine hundred seventy-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 99961 199922 399844 499805 799688 999610 1599376 1999220 3198752 3998440 6397504 7996880 12795008 15993760 31987520 63975040