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8004126 = 2313891153
BaseRepresentation
bin11110100010001000011110
3120001122121010
4132202020132
54022113001
6443320050
7125014434
oct36421036
916048533
108004126
114577689
122820026
131873290
1410c4d54
15a818d6
hex7a221e

8004126 has 32 divisors (see below), whose sum is σ = 17448480. Its totient is φ = 2433024.

The previous prime is 8004121. The next prime is 8004133. The reversal of 8004126 is 6214008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8004121) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 6366 + ... + 7518.

It is an arithmetic number, because the mean of its divisors is an integer number (545265).

Almost surely, 28004126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8004126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8724240).

8004126 is an abundant number, since it is smaller than the sum of its proper divisors (9444354).

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

8004126 is a wasteful number, since it uses less digits than its factorization.

8004126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1260.

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 8004126 is about 2829.1564113707. The cubic root of 8004126 is about 200.0343774240.

The spelling of 8004126 in words is "eight million, four thousand, one hundred twenty-six".

Divisors: 1 2 3 6 13 26 39 78 89 178 267 534 1153 1157 2306 2314 3459 3471 6918 6942 14989 29978 44967 89934 102617 205234 307851 615702 1334021 2668042 4002063 8004126