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8008444404 = 223424717421
BaseRepresentation
bin1110111010101011…
…10010100111110100
3202200010022010110000
413131111302213310
5112400130210104
63402400431300
7402312440262
oct73525624764
922603263400
108008444404
11343a6158a4
121676018530
139a820b8cc
1455d865432
1531d117639
hex1dd5729f4

8008444404 has 30 divisors (see below), whose sum is σ = 20935656434. Its totient is φ = 2669481360.

The previous prime is 8008444397. The next prime is 8008444421. The reversal of 8008444404 is 4044448008.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 7823756304 + 184688100 = 88452^2 + 13590^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 12358387 + ... + 12359034.

Almost surely, 28008444404 is an apocalyptic number.

It is an amenable number.

8008444404 is an abundant number, since it is smaller than the sum of its proper divisors (12927212030).

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

8008444404 is a wasteful number, since it uses less digits than its factorization.

8008444404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24717437 (or 24717426 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 36.

The square root of 8008444404 is about 89489.9123030077. The cubic root of 8008444404 is about 2000.7034528813.

The spelling of 8008444404 in words is "eight billion, eight million, four hundred forty-four thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 24717421 49434842 74152263 98869684 148304526 222456789 296609052 444913578 667370367 889827156 1334740734 2002111101 2669481468 4004222202 8008444404