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80813448 = 23328313523
BaseRepresentation
bin1001101000100…
…01110110001000
312122001202012200
410310101312020
5131142012243
612004040200
72000621502
oct464216610
9178052180
1080813448
1141687381
1223093060
1313986711
14aa38d72
157164ad3
hex4d11d88

80813448 has 48 divisors (see below), whose sum is σ = 221523120. Its totient is φ = 26611296.

The previous prime is 80813429. The next prime is 80813449. The reversal of 80813448 is 84431808.

It is a super-3 number, since 3×808134483 (a number of 25 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (80813449) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 786 + ... + 12737.

It is an arithmetic number, because the mean of its divisors is an integer number (4615065).

Almost surely, 280813448 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 80813448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110761560).

80813448 is an abundant number, since it is smaller than the sum of its proper divisors (140709672).

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

80813448 is a wasteful number, since it uses less digits than its factorization.

80813448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13618 (or 13611 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 80813448 is about 8989.6300257575. The cubic root of 80813448 is about 432.3424496593.

The spelling of 80813448 in words is "eighty million, eight hundred thirteen thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 83 166 249 332 498 664 747 996 1494 1992 2988 5976 13523 27046 40569 54092 81138 108184 121707 162276 243414 324552 486828 973656 1122409 2244818 3367227 4489636 6734454 8979272 10101681 13468908 20203362 26937816 40406724 80813448