Search a number
-
+
8044000008 = 23311108728031
BaseRepresentation
bin1110111110111010…
…11011001100001000
3202202121012112120020
413133131123030020
5112433231000013
63410110500440
7403223605032
oct73735331410
922677175506
108044000008
1134586a02a0
121685b04720
139b26aa525
1456447cc52
153212dc623
hex1df75b308

8044000008 has 64 divisors (see below), whose sum is σ = 21959147520. Its totient is φ = 2435246400.

The previous prime is 8043999983. The next prime is 8044000049. The reversal of 8044000008 is 8000004408.

It is a super-3 number, since 3×80440000083 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 272953 + ... + 300983.

It is an arithmetic number, because the mean of its divisors is an integer number (343111680).

Almost surely, 28044000008 is an apocalyptic number.

8044000008 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

8044000008 is an abundant number, since it is smaller than the sum of its proper divisors (13915147512).

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

8044000008 is a wasteful number, since it uses less digits than its factorization.

8044000008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29138 (or 29134 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 8044000008 is about 89688.3493437135. The cubic root of 8044000008 is about 2003.6599655738.

The spelling of 8044000008 in words is "eight billion, forty-four million, eight", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 1087 2174 3261 4348 6522 8696 11957 13044 23914 26088 28031 35871 47828 56062 71742 84093 95656 112124 143484 168186 224248 286968 308341 336372 616682 672744 925023 1233364 1850046 2466728 3700092 7400184 30469697 60939394 91409091 121878788 182818182 243757576 335166667 365636364 670333334 731272728 1005500001 1340666668 2011000002 2681333336 4022000004 8044000008