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8008048404 = 2232222445789
BaseRepresentation
bin1110111010101000…
…10001111100010100
3202200002120000020100
413131110101330110
5112400030022104
63402344134100
7402306200616
oct73524217424
922602500210
108008048404
11343a375324
121675a67330
139a81005a5
1455d7a0db6
1531d08a139
hex1dd511f14

8008048404 has 18 divisors (see below), whose sum is σ = 20242566890. Its totient is φ = 2669349456.

The previous prime is 8008048397. The next prime is 8008048421. The reversal of 8008048404 is 4048408008.

It can be written as a sum of positive squares in only one way, i.e., 6821108100 + 1186940304 = 82590^2 + 34452^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 222445789 = 8008048404 / (8 + 0 + 0 + 8 + 0 + 4 + 8 + 4 + 0 + 4).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 111222859 + ... + 111222930.

Almost surely, 28008048404 is an apocalyptic number.

It is an amenable number.

8008048404 is an abundant number, since it is smaller than the sum of its proper divisors (12234518486).

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

8008048404 is a wasteful number, since it uses less digits than its factorization.

8008048404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222445799 (or 222445794 counting only the distinct ones).

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

The square root of 8008048404 is about 89487.6997357737. The cubic root of 8008048404 is about 2000.6704755395.

The spelling of 8008048404 in words is "eight billion, eight million, forty-eight thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 222445789 444891578 667337367 889783156 1334674734 2002012101 2669349468 4004024202 8008048404