Search a number
-
+
80132528 = 2473761317
BaseRepresentation
bin1001100011010…
…11100110110000
312120210011011102
410301223212300
5131003220103
611541303532
71662054350
oct461534660
9176704142
1080132528
1141261833
1222a04ba8
13137a87c8
14a8dcb60
15707ce88
hex4c6b9b0

80132528 has 80 divisors (see below), whose sum is σ = 185803584. Its totient is φ = 32762880.

The previous prime is 80132497. The next prime is 80132531. The reversal of 80132528 is 82523108.

It is a self number, because there is not a number n which added to its sum of digits gives 80132528.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 252626 + ... + 252942.

Almost surely, 280132528 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 80132528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92901792).

80132528 is an abundant number, since it is smaller than the sum of its proper divisors (105671056).

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

80132528 is a wasteful number, since it uses less digits than its factorization.

80132528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 29.

The square root of 80132528 is about 8951.6773847140. The cubic root of 80132528 is about 431.1247425062.

The spelling of 80132528 in words is "eighty million, one hundred thirty-two thousand, five hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 37 56 61 74 112 122 148 244 259 296 317 427 488 518 592 634 854 976 1036 1268 1708 2072 2219 2257 2536 3416 4144 4438 4514 5072 6832 8876 9028 11729 15799 17752 18056 19337 23458 31598 35504 36112 38674 46916 63196 77348 82103 93832 126392 135359 154696 164206 187664 252784 270718 309392 328412 541436 656824 715469 1082872 1313648 1430938 2165744 2861876 5008283 5723752 10016566 11447504 20033132 40066264 80132528