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9090252 = 2233731153
BaseRepresentation
bin100010101011…
…010011001100
3122002211111000
4202223103030
54311342002
6522500300
7140160123
oct42532314
918084430
109090252
115149706
123064690
131b63762
1412c8aba
15be861c
hex8ab4cc

9090252 has 48 divisors (see below), whose sum is σ = 23910880. Its totient is φ = 2985984.

The previous prime is 9090251. The next prime is 9090259. The reversal of 9090252 is 2520909.

9090252 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (9090251) 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, 7308 + ... + 8460.

Almost surely, 29090252 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 9090252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11955440).

9090252 is an abundant number, since it is smaller than the sum of its proper divisors (14820628).

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

9090252 is a wasteful number, since it uses less digits than its factorization.

9090252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1239 (or 1231 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 9090252 is about 3015.0044776086. The cubic root of 9090252 is about 208.7013736882.

Subtracting from 9090252 its sum of digits (27), we obtain a square (9090225 = 30152).

The spelling of 9090252 in words is "nine million, ninety thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 73 108 146 219 292 438 657 876 1153 1314 1971 2306 2628 3459 3942 4612 6918 7884 10377 13836 20754 31131 41508 62262 84169 124524 168338 252507 336676 505014 757521 1010028 1515042 2272563 3030084 4545126 9090252