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63641312 = 2572997101
BaseRepresentation
bin1111001011000…
…1011011100000
311102202022110122
43302301123200
5112243010222
610152015412
71401641120
oct362613340
9142668418
1063641312
1132a18729
1219391568
13102534a7
148648c80
1558c1a42
hex3cb16e0

63641312 has 96 divisors (see below), whose sum is σ = 151139520. Its totient is φ = 25804800.

The previous prime is 63641309. The next prime is 63641321. The reversal of 63641312 is 21314636.

63641312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 15 ways as a sum of consecutive naturals, for example, 630062 + ... + 630162.

It is an arithmetic number, because the mean of its divisors is an integer number (1574370).

Almost surely, 263641312 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 63641312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75569760).

63641312 is an abundant number, since it is smaller than the sum of its proper divisors (87498208).

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

63641312 is a wasteful number, since it uses less digits than its factorization.

63641312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 236 counting only the distinct ones).

The product of its digits is 2592, while the sum is 26.

The square root of 63641312 is about 7977.5505012504. The cubic root of 63641312 is about 399.2513329517.

Adding to 63641312 its reverse (21314636), we get a palindrome (84955948).

The spelling of 63641312 in words is "sixty-three million, six hundred forty-one thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 97 101 112 116 194 202 203 224 232 388 404 406 464 679 707 776 808 812 928 1358 1414 1552 1616 1624 2716 2813 2828 2929 3104 3232 3248 5432 5626 5656 5858 6496 9797 10864 11252 11312 11716 19594 19691 20503 21728 22504 22624 23432 39188 39382 41006 45008 46864 68579 78376 78764 82012 90016 93728 137158 156752 157528 164024 274316 284113 313504 315056 328048 548632 568226 630112 656096 1097264 1136452 1988791 2194528 2272904 3977582 4545808 7955164 9091616 15910328 31820656 63641312