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64503216 = 243471701
BaseRepresentation
bin1111011000001…
…1110110110000
311111101002210000
43312003312300
5113003100331
610222310000
71412161011
oct366036660
9144332700
1064503216
1133457248
1219728300
13104958ab
1487d1008
1559e20e6
hex3d83db0

64503216 has 100 divisors (see below), whose sum is σ = 189590544. Its totient is φ = 21168000.

The previous prime is 64503181. The next prime is 64503217. The reversal of 64503216 is 61230546.

64503216 is a `hidden beast` number, since 645 + 0 + 3 + 2 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 64503216.

It is not an unprimeable number, because it can be changed into a prime (64503217) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 91666 + ... + 92366.

Almost surely, 264503216 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 64503216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94795272).

64503216 is an abundant number, since it is smaller than the sum of its proper divisors (125087328).

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

64503216 is a wasteful number, since it uses less digits than its factorization.

64503216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 792 (or 777 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 64503216 is about 8031.3894190233. The cubic root of 64503216 is about 401.0456309249.

The spelling of 64503216 in words is "sixty-four million, five hundred three thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 71 72 81 108 142 144 162 213 216 284 324 426 432 568 639 648 701 852 1136 1278 1296 1402 1704 1917 2103 2556 2804 3408 3834 4206 5112 5608 5751 6309 7668 8412 10224 11216 11502 12618 15336 16824 18927 23004 25236 30672 33648 37854 46008 49771 50472 56781 75708 92016 99542 100944 113562 149313 151416 199084 227124 298626 302832 398168 447939 454248 597252 796336 895878 908496 1194504 1343817 1791756 2389008 2687634 3583512 4031451 5375268 7167024 8062902 10750536 16125804 21501072 32251608 64503216