Search a number
-
+
90244 = 22711293
BaseRepresentation
bin10110000010000100
311120210101
4112002010
510341434
61533444
7524050
oct260204
9146711
1090244
1161890
1244284
13320cb
1424c60
151bb14
hex16084

90244 has 24 divisors (see below), whose sum is σ = 197568. Its totient is φ = 35040.

The previous prime is 90239. The next prime is 90247. The reversal of 90244 is 44209.

It is not an unprimeable number, because it can be changed into a prime (90247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 162 + ... + 454.

It is an arithmetic number, because the mean of its divisors is an integer number (8232).

290244 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 90244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98784).

90244 is an abundant number, since it is smaller than the sum of its proper divisors (107324).

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

90244 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (90243) it forms an eRAP, since the sums of their prime factors are consecutive (314 and 315).

90244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 90244 is about 300.4063914100. The cubic root of 90244 is about 44.8545095425.

It can be divided in two parts, 902 and 44, that added together give a triangular number (946 = T43).

The spelling of 90244 in words is "ninety thousand, two hundred forty-four".

Divisors: 1 2 4 7 11 14 22 28 44 77 154 293 308 586 1172 2051 3223 4102 6446 8204 12892 22561 45122 90244