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81878208 = 2632511699
BaseRepresentation
bin1001110000101…
…01110011000000
312201001211210020
410320111303000
5131430100313
612042533440
72012644656
oct470256300
9181054706
1081878208
1142244345
1223507280
1313c6a259
14ac34dd6
1572c5323
hex4e15cc0

81878208 has 56 divisors (see below), whose sum is σ = 217627200. Its totient is φ = 27168000.

The previous prime is 81878179. The next prime is 81878213. The reversal of 81878208 is 80287818.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 81878208.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 47343 + ... + 49041.

It is an arithmetic number, because the mean of its divisors is an integer number (3886200).

Almost surely, 281878208 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 81878208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108813600).

81878208 is an abundant number, since it is smaller than the sum of its proper divisors (135748992).

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

81878208 is a wasteful number, since it uses less digits than its factorization.

81878208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1965 (or 1955 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 42.

The square root of 81878208 is about 9048.6578010222. The cubic root of 81878208 is about 434.2329513131.

The spelling of 81878208 in words is "eighty-one million, eight hundred seventy-eight thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 251 502 753 1004 1506 1699 2008 3012 3398 4016 5097 6024 6796 8032 10194 12048 13592 16064 20388 24096 27184 40776 48192 54368 81552 108736 163104 326208 426449 852898 1279347 1705796 2558694 3411592 5117388 6823184 10234776 13646368 20469552 27292736 40939104 81878208