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80593812 = 223313137419
BaseRepresentation
bin1001100110111…
…00001110010100
312121122120221000
410303130032110
5131113000222
611555223300
71666015245
oct463341624
9177576830
1080593812
1141547362
1222ba7b30
131390a760
14a9bcccc
15711e9ac
hex4cdc394

80593812 has 96 divisors (see below), whose sum is σ = 227203200. Its totient is φ = 24558336.

The previous prime is 80593811. The next prime is 80593829. The reversal of 80593812 is 21839508.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80593811) 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, 192139 + ... + 192557.

It is an arithmetic number, because the mean of its divisors is an integer number (2366700).

Almost surely, 280593812 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 80593812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113601600).

80593812 is an abundant number, since it is smaller than the sum of its proper divisors (146609388).

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

80593812 is a wasteful number, since it uses less digits than its factorization.

80593812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 582 (or 574 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 80593812 is about 8977.4056386018. The cubic root of 80593812 is about 431.9504186924.

The spelling of 80593812 in words is "eighty million, five hundred ninety-three thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 137 156 234 274 351 411 419 468 548 702 822 838 1233 1257 1404 1644 1676 1781 2466 2514 3562 3699 3771 4932 5028 5343 5447 7124 7398 7542 10686 10894 11313 14796 15084 16029 16341 21372 21788 22626 32058 32682 45252 48087 49023 57403 64116 65364 96174 98046 114806 147069 172209 192348 196092 229612 294138 344418 516627 588276 688836 746239 1033254 1492478 1549881 2066508 2238717 2984956 3099762 4477434 6199524 6716151 8954868 13432302 20148453 26864604 40296906 80593812