Search a number
-
+
80891382 = 231113293251
BaseRepresentation
bin1001101001001…
…00110111110110
312122012201010010
410310210313312
5131202011012
612005441050
72001364635
oct464446766
9178181103
1080891382
114172a990
1223110186
13139b3030
14aa5951c
15717cc3c
hex4d24df6

80891382 has 64 divisors (see below), whose sum is σ = 196680960. Its totient is φ = 21840000.

The previous prime is 80891323. The next prime is 80891387. The reversal of 80891382 is 28319808.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 80891382.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80891387) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23257 + ... + 26507.

It is an arithmetic number, because the mean of its divisors is an integer number (3073140).

Almost surely, 280891382 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80891382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98340480).

80891382 is an abundant number, since it is smaller than the sum of its proper divisors (115789578).

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

80891382 is a wasteful number, since it uses less digits than its factorization.

80891382 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3309.

The product of its (nonzero) digits is 27648, while the sum is 39.

The square root of 80891382 is about 8993.9636423548. The cubic root of 80891382 is about 432.4813842545.

The spelling of 80891382 in words is "eighty million, eight hundred ninety-one thousand, three hundred eighty-two".

Divisors: 1 2 3 6 11 13 22 26 29 33 39 58 66 78 87 143 174 286 319 377 429 638 754 858 957 1131 1914 2262 3251 4147 6502 8294 9753 12441 19506 24882 35761 42263 71522 84526 94279 107283 126789 188558 214566 253578 282837 464893 565674 929786 1037069 1225627 1394679 2074138 2451254 2789358 3111207 3676881 6222414 7353762 13481897 26963794 40445691 80891382