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90690528 = 2537312941
BaseRepresentation
bin1010110011111…
…01001111100000
320022122120000110
411121331033200
5141204044103
612555451320
72150566605
oct531751740
9208576013
1090690528
1147213155
1226456b40
1315a34346
14c08a6ac
157e66403
hex567d3e0

90690528 has 48 divisors (see below), whose sum is σ = 241342416. Its totient is φ = 29813760.

The previous prime is 90690527. The next prime is 90690533. The reversal of 90690528 is 82509609.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90690521) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 538 + ... + 13478.

It is an arithmetic number, because the mean of its divisors is an integer number (5027967).

Almost surely, 290690528 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 90690528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120671208).

90690528 is an abundant number, since it is smaller than the sum of its proper divisors (150651888).

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

90690528 is a wasteful number, since it uses less digits than its factorization.

90690528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13027 (or 13019 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 39.

The square root of 90690528 is about 9523.1574595824. The cubic root of 90690528 is about 449.2836801044.

The spelling of 90690528 in words is "ninety million, six hundred ninety thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 73 96 146 219 292 438 584 876 1168 1752 2336 3504 7008 12941 25882 38823 51764 77646 103528 155292 207056 310584 414112 621168 944693 1242336 1889386 2834079 3778772 5668158 7557544 11336316 15115088 22672632 30230176 45345264 90690528