Search a number
-
+
64463868 = 22327298821
BaseRepresentation
bin1111010111101…
…0001111111100
311111022002210200
43311322033330
5113000320433
610221403500
71411635210
oct365721774
9144262720
1064463868
113342a727
1219709590
1310480a01
1487c0940
1559d5613
hex3d7a3fc

64463868 has 72 divisors (see below), whose sum is σ = 192672480. Its totient is φ = 17781120.

The previous prime is 64463831. The next prime is 64463873. The reversal of 64463868 is 86836446.

64463868 is a `hidden beast` number, since 6 + 4 + 4 + 638 + 6 + 8 = 666.

It is a super-3 number, since 3×644638683 (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2898 + ... + 11718.

Almost surely, 264463868 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 64463868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96336240).

64463868 is an abundant number, since it is smaller than the sum of its proper divisors (128208612).

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

64463868 is a wasteful number, since it uses less digits than its factorization.

64463868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8867 (or 8862 counting only the distinct ones).

The product of its digits is 663552, while the sum is 45.

The square root of 64463868 is about 8028.9394069204. The cubic root of 64463868 is about 400.9640662407.

The spelling of 64463868 in words is "sixty-four million, four hundred sixty-three thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 29 36 42 58 63 84 87 116 126 174 203 252 261 348 406 522 609 812 1044 1218 1827 2436 3654 7308 8821 17642 26463 35284 52926 61747 79389 105852 123494 158778 185241 246988 255809 317556 370482 511618 555723 740964 767427 1023236 1111446 1534854 1790663 2222892 2302281 3069708 3581326 4604562 5371989 7162652 9209124 10743978 16115967 21487956 32231934 64463868