Search a number
-
+
90500992 = 272712609
BaseRepresentation
bin1010110010011…
…10111110000000
320022021221000121
411121032332000
5141132012432
612551430024
72146150201
oct531167600
9208257017
1090500992
11470a380a
1226385314
1315998caa
14c03b5a8
157e2a197
hex564ef80

90500992 has 32 divisors (see below), whose sum is σ = 181029600. Its totient is φ = 45066240.

The previous prime is 90500989. The next prime is 90500999. The reversal of 90500992 is 29900509.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90500999) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 33384 + ... + 35992.

It is an arithmetic number, because the mean of its divisors is an integer number (5657175).

Almost surely, 290500992 is an apocalyptic number.

It is an amenable number.

90500992 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

90500992 is a wasteful number, since it uses less digits than its factorization.

90500992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2894 (or 2882 counting only the distinct ones).

The product of its (nonzero) digits is 7290, while the sum is 34.

The square root of 90500992 is about 9513.2009334398. The cubic root of 90500992 is about 448.9704727418.

The spelling of 90500992 in words is "ninety million, five hundred thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 16 32 64 128 271 542 1084 2168 2609 4336 5218 8672 10436 17344 20872 34688 41744 83488 166976 333952 707039 1414078 2828156 5656312 11312624 22625248 45250496 90500992