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90521536 = 2673743127
BaseRepresentation
bin1010110010100…
…11111111000000
320022022222012111
411121103333000
5141133142121
612552105104
72146264120
oct531237700
9208288174
1090521536
1147108196
1226395194
13159a5451
14c044c80
157e312e1
hex5653fc0

90521536 has 112 divisors (see below), whose sum is σ = 217440256. Its totient is φ = 36578304.

The previous prime is 90521507. The next prime is 90521551. The reversal of 90521536 is 63512509.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 90521498 and 90521507.

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, 712705 + ... + 712831.

Almost surely, 290521536 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 90521536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108720128).

90521536 is an abundant number, since it is smaller than the sum of its proper divisors (126918720).

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

90521536 is a wasteful number, since it uses less digits than its factorization.

90521536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 31.

The square root of 90521536 is about 9514.2806349193. The cubic root of 90521536 is about 449.0044427250.

The spelling of 90521536 in words is "ninety million, five hundred twenty-one thousand, five hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 32 37 43 56 64 74 86 112 127 148 172 224 254 259 296 301 344 448 508 518 592 602 688 889 1016 1036 1184 1204 1376 1591 1778 2032 2072 2368 2408 2752 3182 3556 4064 4144 4699 4816 5461 6364 7112 8128 8288 9398 9632 10922 11137 12728 14224 16576 18796 19264 21844 22274 25456 28448 32893 37592 38227 43688 44548 50912 56896 65786 75184 76454 87376 89096 101824 131572 150368 152908 174752 178192 202057 263144 300736 305816 349504 356384 404114 526288 611632 712768 808228 1052576 1223264 1414399 1616456 2105152 2446528 2828798 3232912 5657596 6465824 11315192 12931648 22630384 45260768 90521536