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90563382 = 23271324253
BaseRepresentation
bin1010110010111…
…10001100110110
320022102002121100
411121132030312
5141141012012
612553030530
72146530120
oct531361466
9208362540
1090563382
1147136678
12263b5446
13159bb500
14c056210
157e3d8dc
hex565e336

90563382 has 72 divisors (see below), whose sum is σ = 242886384. Its totient is φ = 23879232.

The previous prime is 90563381. The next prime is 90563393. The reversal of 90563382 is 28336509.

90563382 is a `hidden beast` number, since 90 + 563 + 3 + 8 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90563381) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 19168 + ... + 23420.

It is an arithmetic number, because the mean of its divisors is an integer number (3373422).

Almost surely, 290563382 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90563382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121443192).

90563382 is an abundant number, since it is smaller than the sum of its proper divisors (152323002).

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

90563382 is a wasteful number, since it uses less digits than its factorization.

90563382 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4294 (or 4278 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 90563382 is about 9516.4794961162. The cubic root of 90563382 is about 449.0736201688.

The spelling of 90563382 in words is "ninety million, five hundred sixty-three thousand, three hundred eighty-two".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 63 78 91 117 126 169 182 234 273 338 507 546 819 1014 1183 1521 1638 2366 3042 3549 4253 7098 8506 10647 12759 21294 25518 29771 38277 55289 59542 76554 89313 110578 165867 178626 267939 331734 387023 497601 535878 718757 774046 995202 1161069 1437514 2156271 2322138 3483207 4312542 5031299 6468813 6966414 10062598 12937626 15093897 30187794 45281691 90563382