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80849376 = 2532412167
BaseRepresentation
bin1001101000110…
…10100111100000
312122010120111100
410310122213200
5131144140001
612004514400
72001131316
oct464324740
9178116440
1080849376
1141701373
12230aba00
1313999b8a
14aa480b6
157170586
hex4d1a9e0

80849376 has 108 divisors (see below), whose sum is σ = 237071016. Its totient is φ = 26135040.

The previous prime is 80849357. The next prime is 80849383. The reversal of 80849376 is 67394808.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 484045 + ... + 484211.

It is an arithmetic number, because the mean of its divisors is an integer number (2195102).

Almost surely, 280849376 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 80849376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118535508).

80849376 is an abundant number, since it is smaller than the sum of its proper divisors (156221640).

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

80849376 is a wasteful number, since it uses less digits than its factorization.

80849376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 80849376 is about 8991.6281061886. The cubic root of 80849376 is about 432.4065103594.

It can be divided in two parts, 80849 and 376, that added together give a square (81225 = 2852).

The spelling of 80849376 in words is "eighty million, eight hundred forty-nine thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 41 48 72 82 96 123 144 164 167 246 288 328 334 369 492 501 656 668 738 984 1002 1312 1336 1476 1503 1681 1968 2004 2672 2952 3006 3362 3936 4008 5043 5344 5904 6012 6724 6847 8016 10086 11808 12024 13448 13694 15129 16032 20172 20541 24048 26896 27388 30258 40344 41082 48096 53792 54776 60516 61623 80688 82164 109552 121032 123246 161376 164328 219104 242064 246492 280727 328656 484128 492984 561454 657312 842181 985968 1122908 1684362 1971936 2245816 2526543 3368724 4491632 5053086 6737448 8983264 10106172 13474896 20212344 26949792 40424688 80849376