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90319984 = 2410752757
BaseRepresentation
bin1010110001000…
…10110001110000
320021221201201121
411120202301300
5141110214414
612543512024
72144464366
oct530426160
9207851647
1090319984
1146a8a817
12262b8614
13159347a1
14bdd1636
157de1724
hex5622c70

90319984 has 20 divisors (see below), whose sum is σ = 176633784. Its totient is φ = 44737088.

The previous prime is 90319981. The next prime is 90319993. The reversal of 90319984 is 48991309.

It is a self number, because there is not a number n which added to its sum of digits gives 90319984.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90319981) 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 3 ways as a sum of consecutive naturals, for example, 24667 + ... + 28090.

Almost surely, 290319984 is an apocalyptic number.

It is an amenable number.

90319984 is a deficient number, since it is larger than the sum of its proper divisors (86313800).

90319984 is a wasteful number, since it uses less digits than its factorization.

90319984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52872 (or 52866 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 43.

The square root of 90319984 is about 9503.6826546345. The cubic root of 90319984 is about 448.6709493672.

Subtracting from 90319984 its product of nonzero digits (69984), we obtain a square (90250000 = 95002).

The spelling of 90319984 in words is "ninety million, three hundred nineteen thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 16 107 214 428 856 1712 52757 105514 211028 422056 844112 5644999 11289998 22579996 45159992 90319984