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90913524 = 223134313553
BaseRepresentation
bin1010110101100…
…11101011110100
320100001212220120
411122303223310
5141233213044
613004331540
72152516002
oct532635364
9210055816
1090913524
1147355749
1226543bb0
1315ab19b0
14c107a72
157eac519
hex56b3af4

90913524 has 48 divisors (see below), whose sum is σ = 233779392. Its totient is φ = 27320832.

The previous prime is 90913507. The next prime is 90913553. The reversal of 90913524 is 42531909.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69 + ... + 13484.

It is an arithmetic number, because the mean of its divisors is an integer number (4870404).

Almost surely, 290913524 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 90913524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116889696).

90913524 is an abundant number, since it is smaller than the sum of its proper divisors (142865868).

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

90913524 is a wasteful number, since it uses less digits than its factorization.

90913524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13616 (or 13614 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 33.

The square root of 90913524 is about 9534.8583628704. The cubic root of 90913524 is about 449.6516217222.

The spelling of 90913524 in words is "ninety million, nine hundred thirteen thousand, five hundred twenty-four".

Divisors: 1 2 3 4 6 12 13 26 39 43 52 78 86 129 156 172 258 516 559 1118 1677 2236 3354 6708 13553 27106 40659 54212 81318 162636 176189 352378 528567 582779 704756 1057134 1165558 1748337 2114268 2331116 3496674 6993348 7576127 15152254 22728381 30304508 45456762 90913524