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63960288 = 2537213597
BaseRepresentation
bin1111001111111…
…1010011100000
311110100112000120
43303333103200
5112333212123
610202520240
71404440100
oct363772340
9143315016
1063960288
1133116347
1219506080
1310335732
1486cd200
1559362e3
hex3cff4e0

63960288 has 72 divisors (see below), whose sum is σ = 195321672. Its totient is φ = 18273024.

The previous prime is 63960271. The next prime is 63960301. The reversal of 63960288 is 88206936.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2095 + ... + 11502.

It is an arithmetic number, because the mean of its divisors is an integer number (2712801).

Almost surely, 263960288 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 63960288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97660836).

63960288 is an abundant number, since it is smaller than the sum of its proper divisors (131361384).

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

63960288 is a wasteful number, since it uses less digits than its factorization.

63960288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13624 (or 13609 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 63960288 is about 7997.5176148603. The cubic root of 63960288 is about 399.9172495488.

The spelling of 63960288 in words is "sixty-three million, nine hundred sixty thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 147 168 196 224 294 336 392 588 672 784 1176 1568 2352 4704 13597 27194 40791 54388 81582 95179 108776 163164 190358 217552 285537 326328 380716 435104 571074 652656 666253 761432 1142148 1305312 1332506 1522864 1998759 2284296 2665012 3045728 3997518 4568592 5330024 7995036 9137184 10660048 15990072 21320096 31980144 63960288