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80506016 = 2517831783
BaseRepresentation
bin1001100110001…
…10110010100000
312121111010111022
410303012302200
5131102143031
611553305012
71665201263
oct463066240
9177433438
1080506016
11414973a8
1222b65168
13138a97c6
14a998cda
15710397b
hex4cc6ca0

80506016 has 48 divisors (see below), whose sum is σ = 169936704. Its totient is φ = 37407744.

The previous prime is 80506007. The next prime is 80506037. The reversal of 80506016 is 61060508.

It is a super-2 number, since 2×805060162 = 12962437224384512, which contains 22 as substring.

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, 44261 + ... + 46043.

It is an arithmetic number, because the mean of its divisors is an integer number (3540348).

Almost surely, 280506016 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 80506016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84968352).

80506016 is an abundant number, since it is smaller than the sum of its proper divisors (89430688).

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

80506016 is a wasteful number, since it uses less digits than its factorization.

80506016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1893 (or 1885 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 80506016 is about 8972.5144747724. The cubic root of 80506016 is about 431.7935112856.

The spelling of 80506016 in words is "eighty million, five hundred six thousand, sixteen".

Divisors: 1 2 4 8 16 17 32 34 68 83 136 166 272 332 544 664 1328 1411 1783 2656 2822 3566 5644 7132 11288 14264 22576 28528 30311 45152 57056 60622 121244 147989 242488 295978 484976 591956 969952 1183912 2367824 2515813 4735648 5031626 10063252 20126504 40253008 80506016