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90329382 = 2321113191847
BaseRepresentation
bin1010110001001…
…01000100100110
320021222012121200
411120211010212
5141111020012
612544023330
72144533653
oct530450446
9207865550
1090329382
1146a96890
1226301b46
1315938b50
14bdd4c2a
157de43dc
hex5625126

90329382 has 96 divisors (see below), whose sum is σ = 242161920. Its totient is φ = 23924160.

The previous prime is 90329377. The next prime is 90329383. The reversal of 90329382 is 28392309.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90329383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47983 + ... + 49829.

It is an arithmetic number, because the mean of its divisors is an integer number (2522520).

Almost surely, 290329382 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90329382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121080960).

90329382 is an abundant number, since it is smaller than the sum of its proper divisors (151832538).

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

90329382 is a wasteful number, since it uses less digits than its factorization.

90329382 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1898 (or 1895 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 90329382 is about 9504.1770816836. The cubic root of 90329382 is about 448.6865105721.

The spelling of 90329382 in words is "ninety million, three hundred twenty-nine thousand, three hundred eighty-two".

Divisors: 1 2 3 6 9 11 13 18 19 22 26 33 38 39 57 66 78 99 114 117 143 171 198 209 234 247 286 342 418 429 494 627 741 858 1254 1287 1482 1847 1881 2223 2574 2717 3694 3762 4446 5434 5541 8151 11082 16302 16623 20317 24011 24453 33246 35093 40634 48022 48906 60951 70186 72033 105279 121902 144066 182853 210558 216099 264121 315837 365706 386023 432198 456209 528242 631674 772046 792363 912418 1158069 1368627 1584726 2316138 2377089 2737254 3474207 4105881 4754178 5018299 6948414 8211762 10036598 15054897 30109794 45164691 90329382