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8008428 = 22317371061
BaseRepresentation
bin11110100011001011101100
3120001212111110
4132203023230
54022232203
6443352020
7125033121
oct36431354
916055443
108008428
11457a93a
122822610
13187521c
1410c6748
15a82d03
hex7a32ec

8008428 has 48 divisors (see below), whose sum is σ = 20339424. Its totient is φ = 2442240.

The previous prime is 8008409. The next prime is 8008453. The reversal of 8008428 is 8248008.

It is a junction number, because it is equal to n+sod(n) for n = 8008395 and 8008404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7018 + ... + 8078.

It is an arithmetic number, because the mean of its divisors is an integer number (423738).

Almost surely, 28008428 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8008428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10169712).

8008428 is an abundant number, since it is smaller than the sum of its proper divisors (12330996).

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

8008428 is a wasteful number, since it uses less digits than its factorization.

8008428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1122 (or 1120 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 30.

The square root of 8008428 is about 2829.9166065451. The cubic root of 8008428 is about 200.0702086842.

The spelling of 8008428 in words is "eight million, eight thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 12 17 34 37 51 68 74 102 111 148 204 222 444 629 1061 1258 1887 2122 2516 3183 3774 4244 6366 7548 12732 18037 36074 39257 54111 72148 78514 108222 117771 157028 216444 235542 471084 667369 1334738 2002107 2669476 4004214 8008428