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413939868 = 2231737173317
BaseRepresentation
bin11000101011000…
…011100010011100
31001211220022202020
4120223003202130
51321432033433
6105024100140
713154300526
oct3053034234
91054808666
10413939868
111a2727171
12b6764650
13679b2544
143cd92a16
1526518cb3
hex18ac389c

413939868 has 96 divisors (see below), whose sum is σ = 1059718464. Its totient is φ = 125227008.

The previous prime is 413939861. The next prime is 413939873. The reversal of 413939868 is 868939314.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 413939868.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413939861) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1305646 + ... + 1305962.

It is an arithmetic number, because the mean of its divisors is an integer number (11038734).

Almost surely, 2413939868 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 413939868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529859232).

413939868 is an abundant number, since it is smaller than the sum of its proper divisors (645778596).

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

413939868 is a wasteful number, since it uses less digits than its factorization.

413939868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551 (or 549 counting only the distinct ones).

The product of its digits is 1119744, while the sum is 51.

The square root of 413939868 is about 20345.5122324310. The cubic root of 413939868 is about 745.2679053901.

The spelling of 413939868 in words is "four hundred thirteen million, nine hundred thirty-nine thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 12 17 34 37 51 68 74 102 111 148 173 204 222 317 346 444 519 629 634 692 951 1038 1258 1268 1887 1902 2076 2516 2941 3774 3804 5389 5882 6401 7548 8823 10778 11729 11764 12802 16167 17646 19203 21556 23458 25604 32334 35187 35292 38406 46916 54841 64668 70374 76812 108817 109682 140748 164523 199393 217634 219364 326451 329046 398786 435268 598179 652902 658092 797572 932297 1196358 1305804 1864594 2029117 2392716 2796891 3729188 4058234 5593782 6087351 8116468 11187564 12174702 24349404 34494989 68989978 103484967 137979956 206969934 413939868