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8084040084 = 223424950741
BaseRepresentation
bin1111000011101100…
…01010100110010100
3202212101112210020000
413201312022212110
5113024003240314
63414101011300
7404221130661
oct74166124624
922771483200
108084040084
113479258a6a
1216973b3b30
139baa89393
14569902a68
15324a9b209
hex1e1d8a994

8084040084 has 30 divisors (see below), whose sum is σ = 21133278474. Its totient is φ = 2694679920.

The previous prime is 8084040071. The next prime is 8084040089. The reversal of 8084040084 is 4800404808.

It can be written as a sum of positive squares in only one way, i.e., 5459732100 + 2624307984 = 73890^2 + 51228^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8084040089) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 12475047 + ... + 12475694.

Almost surely, 28084040084 is an apocalyptic number.

It is an amenable number.

8084040084 is an abundant number, since it is smaller than the sum of its proper divisors (13049238390).

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

8084040084 is a wasteful number, since it uses less digits than its factorization.

8084040084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24950757 (or 24950746 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The square root of 8084040084 is about 89911.2900808347. The cubic root of 8084040084 is about 2006.9789590721.

The spelling of 8084040084 in words is "eight billion, eighty-four million, forty thousand, eighty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 24950741 49901482 74852223 99802964 149704446 224556669 299408892 449113338 673670007 898226676 1347340014 2021010021 2694680028 4042020042 8084040084