Search a number
-
+
80911008 = 2533372531
BaseRepresentation
bin1001101001010…
…01101010100000
312122020201001000
410310221222200
5131203123013
612010112000
72001506103
oct464515240
9178221030
1080911008
1141743702
122311b600
13139bbc49
14aa6273a
157183973
hex4d29aa0

80911008 has 96 divisors (see below), whose sum is σ = 242464320. Its totient is φ = 26231040.

The previous prime is 80911003. The next prime is 80911067. The reversal of 80911008 is 80011908.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is not an unprimeable number, because it can be changed into a prime (80911001) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 30703 + ... + 33233.

It is an arithmetic number, because the mean of its divisors is an integer number (2525670).

Almost surely, 280911008 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 80911008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121232160).

80911008 is an abundant number, since it is smaller than the sum of its proper divisors (161553312).

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

80911008 is a wasteful number, since it uses less digits than its factorization.

80911008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2587 (or 2573 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 27.

The square root of 80911008 is about 8995.0546413015. The cubic root of 80911008 is about 432.5163578742.

The spelling of 80911008 in words is "eighty million, nine hundred eleven thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 37 48 54 72 74 96 108 111 144 148 216 222 288 296 333 432 444 592 666 864 888 999 1184 1332 1776 1998 2531 2664 3552 3996 5062 5328 7593 7992 10124 10656 15186 15984 20248 22779 30372 31968 40496 45558 60744 68337 80992 91116 93647 121488 136674 182232 187294 242976 273348 280941 364464 374588 546696 561882 728928 749176 842823 1093392 1123764 1498352 1685646 2186784 2247528 2528469 2996704 3371292 4495056 5056938 6742584 8990112 10113876 13485168 20227752 26970336 40455504 80911008