Search a number
-
+
90445950 = 23352717563
BaseRepresentation
bin1010110010000…
…01100001111110
320022012010112000
411121001201332
5141123232300
612550323130
72145530550
oct531014176
9208163460
1090445950
1147066421
12263594a6
1315979c1a
14c0254d0
157e18c00
hex564187e

90445950 has 192 divisors, whose sum is σ = 302123520. Its totient is φ = 19422720.

The previous prime is 90445921. The next prime is 90445969. The reversal of 90445950 is 5954409.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 160369 + ... + 160931.

It is an arithmetic number, because the mean of its divisors is an integer number (1573560).

Almost surely, 290445950 is an apocalyptic number.

90445950 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 90445950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151061760).

90445950 is an abundant number, since it is smaller than the sum of its proper divisors (211677570).

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

90445950 is a wasteful number, since it uses less digits than its factorization.

90445950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 608 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 90445950 is about 9510.3075660044. The cubic root of 90445950 is about 448.8794341655.

It can be divided in two parts, 90 and 445950, that added together give a triangular number (446040 = T944).

The spelling of 90445950 in words is "ninety million, four hundred forty-five thousand, nine hundred fifty".