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90392372 = 22741711109
BaseRepresentation
bin1010110001101…
…00011100110100
320022002102000122
411120310130310
5141120023442
612545231112
72145215420
oct530643464
9208072018
1090392372
114702a144
1226332498
131595b715
14c00db80
157e07dd2
hex5634734

90392372 has 48 divisors (see below), whose sum is σ = 187971840. Its totient is φ = 37228800.

The previous prime is 90392359. The next prime is 90392399. The reversal of 90392372 is 27329309.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80954 + ... + 82062.

It is an arithmetic number, because the mean of its divisors is an integer number (3916080).

Almost surely, 290392372 is an apocalyptic number.

90392372 is the 7763-rd pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90392372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93985920).

90392372 is an abundant number, since it is smaller than the sum of its proper divisors (97579468).

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

90392372 is a wasteful number, since it uses less digits than its factorization.

90392372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1232 (or 1230 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 35.

The square root of 90392372 is about 9507.4903102764. The cubic root of 90392372 is about 448.7907815401.

It can be divided in two parts, 9039 and 2372, that added together give a palindrome (11411).

The spelling of 90392372 in words is "ninety million, three hundred ninety-two thousand, three hundred seventy-two".

Divisors: 1 2 4 7 14 28 41 71 82 142 164 284 287 497 574 994 1109 1148 1988 2218 2911 4436 5822 7763 11644 15526 20377 31052 40754 45469 78739 81508 90938 157478 181876 314956 318283 551173 636566 1102346 1273132 2204692 3228299 6456598 12913196 22598093 45196186 90392372