Search a number
-
+
8768464452 = 223211311096553
BaseRepresentation
bin10000010101010010…
…00010011001000100
3211122002102010221200
420022221002121010
5120424211330302
64010030342500
7430201501206
oct101251023104
924562363850
108768464452
11379a62a140
12184865aa30
13a99804107
145d2784776
15364be381c
hex20aa42644

8768464452 has 144 divisors (see below), whose sum is σ = 25192527360. Its totient is φ = 2547417600.

The previous prime is 8768464403. The next prime is 8768464487. The reversal of 8768464452 is 2544648678.

It is a happy number.

8768464452 is a `hidden beast` number, since 87 + 68 + 464 + 45 + 2 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1334808 + ... + 1341360.

Almost surely, 28768464452 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 8768464452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12596263680).

8768464452 is an abundant number, since it is smaller than the sum of its proper divisors (16424062908).

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

8768464452 is a wasteful number, since it uses less digits than its factorization.

8768464452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6714 (or 6709 counting only the distinct ones).

The product of its digits is 10321920, while the sum is 54.

The square root of 8768464452 is about 93640.0793036828. The cubic root of 8768464452 is about 2062.0911034253.

The spelling of 8768464452 in words is "eight billion, seven hundred sixty-eight million, four hundred sixty-four thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 31 33 36 44 62 66 93 99 109 124 132 186 198 218 279 327 341 372 396 436 558 654 682 981 1023 1116 1199 1308 1364 1962 2046 2398 3069 3379 3597 3924 4092 4796 6138 6553 6758 7194 10137 10791 12276 13106 13516 14388 19659 20274 21582 26212 30411 37169 39318 40548 43164 58977 60822 72083 74338 78636 111507 117954 121644 144166 148676 203143 216249 223014 235908 288332 334521 406286 432498 446028 609429 648747 669042 714277 812572 864996 1218858 1297494 1338084 1428554 1828287 2142831 2234573 2437716 2594988 2857108 3656574 4285662 4469146 6428493 6703719 7313148 7857047 8571324 8938292 12856986 13407438 15714094 20111157 22142587 23571141 25713972 26814876 31428188 40222314 44285174 47142282 66427761 70713423 80444628 88570348 94284564 132855522 141426846 199283283 243568457 265711044 282853692 398566566 487136914 730705371 797133132 974273828 1461410742 2192116113 2922821484 4384232226 8768464452