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8073381904 = 247232092
BaseRepresentation
bin1111000010011011…
…00000100000010000
3202211122111021221121
413201031200200100
5113013241210104
63413040332024
7404031420400
oct74115404020
922748437847
108073381904
113473239355
121693914014
139b87c7073
1456832a800
15323b93254
hex1e1360810

8073381904 has 45 divisors (see below), whose sum is σ = 18201674397. Its totient is φ = 3458942592.

The previous prime is 8073381887. The next prime is 8073381913. The reversal of 8073381904 is 4091833708.

It is a happy number.

The square root of 8073381904 is 89852.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 4549772304 + 3523609600 = 67452^2 + 59360^2 .

It is a Duffinian number.

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 8 ways as a sum of consecutive naturals, for example, 2514252 + ... + 2517460.

Almost surely, 28073381904 is an apocalyptic number.

8073381904 is the 89852-nd square number.

It is an amenable number.

8073381904 is an abundant number, since it is smaller than the sum of its proper divisors (10128292493).

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

8073381904 is an frugal number, since it uses more digits than its factorization.

8073381904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6440 (or 3218 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 43.

The cubic root of 8073381904 is about 2006.0965557874.

The spelling of 8073381904 in words is "eight billion, seventy-three million, three hundred eighty-one thousand, nine hundred four".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 784 3209 6418 12836 22463 25672 44926 51344 89852 157241 179704 314482 359408 628964 1257928 2515856 10297681 20595362 41190724 72083767 82381448 144167534 164762896 288335068 504586369 576670136 1009172738 1153340272 2018345476 4036690952 8073381904