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80819172 = 223272911059
BaseRepresentation
bin1001101000100…
…11001111100100
312122002001001200
410310103033210
5131142203142
612004122500
72000644260
oct464231744
9178061050
1080819172
1141690705
1223096430
13139891c5
14aa3b0a0
15716664c
hex4d133e4

80819172 has 72 divisors (see below), whose sum is σ = 241550400. Its totient is φ = 22292928.

The previous prime is 80819161. The next prime is 80819227. The reversal of 80819172 is 27191808.

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

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 23 ways as a sum of consecutive naturals, for example, 1779 + ... + 12837.

Almost surely, 280819172 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 80819172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120775200).

80819172 is an abundant number, since it is smaller than the sum of its proper divisors (160731228).

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

80819172 is a wasteful number, since it uses less digits than its factorization.

80819172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11105 (or 11100 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The square root of 80819172 is about 8989.9483869486. The cubic root of 80819172 is about 432.3526569940.

The spelling of 80819172 in words is "eighty million, eight hundred nineteen thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 29 36 42 58 63 84 87 116 126 174 203 252 261 348 406 522 609 812 1044 1218 1827 2436 3654 7308 11059 22118 33177 44236 66354 77413 99531 132708 154826 199062 232239 309652 320711 398124 464478 641422 696717 928956 962133 1282844 1393434 1924266 2244977 2786868 2886399 3848532 4489954 5772798 6734931 8979908 11545596 13469862 20204793 26939724 40409586 80819172