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8008144 = 24500509
BaseRepresentation
bin11110100011000111010000
3120001212002221
4132203013100
54022230034
6443350424
7125032234
oct36430720
916055087
108008144
11457a701
122822414
131875061
1410c65c4
15a82bb4
hex7a31d0

8008144 has 10 divisors (see below), whose sum is σ = 15515810. Its totient is φ = 4004064.

The previous prime is 8008127. The next prime is 8008157. The reversal of 8008144 is 4418008.

It can be written as a sum of positive squares in only one way, i.e., 5817744 + 2190400 = 2412^2 + 1480^2 .

It is an Ulam number.

It is a congruent 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 as a sum of consecutive naturals, namely, 250239 + ... + 250270.

It is an arithmetic number, because the mean of its divisors is an integer number (1551581).

Almost surely, 28008144 is an apocalyptic number.

It is an amenable number.

8008144 is a deficient number, since it is larger than the sum of its proper divisors (7507666).

8008144 is a wasteful number, since it uses less digits than its factorization.

8008144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500517 (or 500511 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 25.

The square root of 8008144 is about 2829.8664279432. The cubic root of 8008144 is about 200.0678436503.

The spelling of 8008144 in words is "eight million, eight thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 500509 1001018 2002036 4004072 8008144