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63948640 = 255757097
BaseRepresentation
bin1111001111110…
…0011101100000
311110022221001011
43303330131200
5112332324030
610202350304
71404361120
oct363743540
9143287034
1063948640
1133108618
12194bb394
1310330342
1486c8c80
155932b2a
hex3cfc760

63948640 has 48 divisors (see below), whose sum is σ = 172664352. Its totient is φ = 21924864.

The previous prime is 63948593. The next prime is 63948667. The reversal of 63948640 is 4684936.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 63948593 and 63948602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27429 + ... + 29668.

It is an arithmetic number, because the mean of its divisors is an integer number (3597174).

Almost surely, 263948640 is an apocalyptic number.

It is an amenable number.

63948640 is an abundant number, since it is smaller than the sum of its proper divisors (108715712).

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

63948640 is a wasteful number, since it uses less digits than its factorization.

63948640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57119 (or 57111 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 40.

The square root of 63948640 is about 7996.7893557352. The cubic root of 63948640 is about 399.8929713647.

The spelling of 63948640 in words is "sixty-three million, nine hundred forty-eight thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 57097 114194 228388 285485 399679 456776 570970 799358 913552 1141940 1598716 1827104 1998395 2283880 3197432 3996790 4567760 6394864 7993580 9135520 12789728 15987160 31974320 63948640