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63974944 = 25111710691
BaseRepresentation
bin1111010000001…
…0111000100000
311110101021010101
43310002320200
5112334144234
610203112144
71404530605
oct364027040
9143337111
1063974944
1133126360
1219512654
131033c2c7
1486d46ac
15593a814
hex3d02e20

63974944 has 48 divisors (see below), whose sum is σ = 145496736. Its totient is φ = 27366400.

The previous prime is 63974941. The next prime is 63974951. The reversal of 63974944 is 44947936.

It is a junction number, because it is equal to n+sod(n) for n = 63974894 and 63974903.

It is not an unprimeable number, because it can be changed into a prime (63974941) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 639 + ... + 11329.

It is an arithmetic number, because the mean of its divisors is an integer number (3031182).

Almost surely, 263974944 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 63974944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72748368).

63974944 is an abundant number, since it is smaller than the sum of its proper divisors (81521792).

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

63974944 is a wasteful number, since it uses less digits than its factorization.

63974944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10729 (or 10721 counting only the distinct ones).

The product of its digits is 653184, while the sum is 46.

The square root of 63974944 is about 7998.4338466977. The cubic root of 63974944 is about 399.9477931864.

The spelling of 63974944 in words is "sixty-three million, nine hundred seventy-four thousand, nine hundred forty-four".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 68 88 136 176 187 272 352 374 544 748 1496 2992 5984 10691 21382 42764 85528 117601 171056 181747 235202 342112 363494 470404 726988 940808 1453976 1881616 1999217 2907952 3763232 3998434 5815904 7996868 15993736 31987472 63974944