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63913472 = 297171049
BaseRepresentation
bin1111001111001…
…1111000000000
311110021010210122
43303303320000
5112330212342
610201515412
71404153440
oct363637000
9143233718
1063913472
1133094157
12194a2b68
131031a32c
1486ba120
1559274d2
hex3cf3e00

63913472 has 80 divisors (see below), whose sum is σ = 154677600. Its totient is φ = 25755648.

The previous prime is 63913463. The next prime is 63913513. The reversal of 63913472 is 27431936.

63913472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 60404 + ... + 61452.

It is an arithmetic number, because the mean of its divisors is an integer number (1933470).

Almost surely, 263913472 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 63913472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77338800).

63913472 is an abundant number, since it is smaller than the sum of its proper divisors (90764128).

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

63913472 is a wasteful number, since it uses less digits than its factorization.

63913472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1091 (or 1075 counting only the distinct ones).

The product of its digits is 27216, while the sum is 35.

The square root of 63913472 is about 7994.5901708593. The cubic root of 63913472 is about 399.8196520321.

The spelling of 63913472 in words is "sixty-three million, nine hundred thirteen thousand, four hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 64 68 112 119 128 136 224 238 256 272 448 476 512 544 896 952 1049 1088 1792 1904 2098 2176 3584 3808 4196 4352 7343 7616 8392 8704 14686 15232 16784 17833 29372 30464 33568 35666 58744 60928 67136 71332 117488 124831 134272 142664 234976 249662 268544 285328 469952 499324 537088 570656 939904 998648 1141312 1879808 1997296 2282624 3759616 3994592 4565248 7989184 9130496 15978368 31956736 63913472