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90095344 = 2429281691
BaseRepresentation
bin1010101111010…
…11111011110000
320021112022120121
411113223323300
5141031022334
612535020024
72142540433
oct527537360
9207468517
1090095344
1146946a69
122620a614
1315886471
14bd7381a
157d99db4
hex55ebef0

90095344 has 40 divisors (see below), whose sum is σ = 181483920. Its totient is φ = 43276800.

The previous prime is 90095311. The next prime is 90095351. The reversal of 90095344 is 44359009.

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 7 ways as a sum of consecutive naturals, for example, 130039 + ... + 130729.

It is an arithmetic number, because the mean of its divisors is an integer number (4537098).

Almost surely, 290095344 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 90095344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90741960).

90095344 is an abundant number, since it is smaller than the sum of its proper divisors (91388576).

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

90095344 is a wasteful number, since it uses less digits than its factorization.

90095344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1009 (or 1003 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 34.

The square root of 90095344 is about 9491.8567203683. The cubic root of 90095344 is about 448.2986688265.

The spelling of 90095344 in words is "ninety million, ninety-five thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 29 58 116 232 281 464 562 691 1124 1382 2248 2764 4496 5528 8149 11056 16298 20039 32596 40078 65192 80156 130384 160312 194171 320624 388342 776684 1553368 3106736 5630959 11261918 22523836 45047672 90095344