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90162044 = 22729373001
BaseRepresentation
bin1010101111111…
…00001101111100
320021122201001222
411113330031330
5141040141134
612540252512
72143236050
oct527741574
9207581058
1090162044
1146992095
1226241138
13158aa92b
14bd8dc60
157daea2e
hex55fc37c

90162044 has 48 divisors (see below), whose sum is σ = 191647680. Its totient is φ = 36288000.

The previous prime is 90162019. The next prime is 90162071. The reversal of 90162044 is 44026109.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28544 + ... + 31544.

It is an arithmetic number, because the mean of its divisors is an integer number (3992660).

Almost surely, 290162044 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 90162044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95823840).

90162044 is an abundant number, since it is smaller than the sum of its proper divisors (101485636).

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

90162044 is a wasteful number, since it uses less digits than its factorization.

90162044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3078 (or 3076 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 90162044 is about 9495.3696083933. The cubic root of 90162044 is about 448.4092707139.

The spelling of 90162044 in words is "ninety million, one hundred sixty-two thousand, forty-four".

Divisors: 1 2 4 7 14 28 29 37 58 74 116 148 203 259 406 518 812 1036 1073 2146 3001 4292 6002 7511 12004 15022 21007 30044 42014 84028 87029 111037 174058 222074 348116 444148 609203 777259 1218406 1554518 2436812 3109036 3220073 6440146 12880292 22540511 45081022 90162044