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90285741 = 32713234793
BaseRepresentation
bin1010110000110…
…10011010101101
320021212222202100
411120122122231
5141103120431
612543045313
72144262510
oct530323255
9207788670
1090285741
1146a67017
12262a0839
1315922020
14bdc2d77
157dd64e6
hex561a6ad

90285741 has 48 divisors (see below), whose sum is σ = 167521536. Its totient is φ = 45543168.

The previous prime is 90285737. The next prime is 90285749. The reversal of 90285741 is 14758209.

It is not a de Polignac number, because 90285741 - 22 = 90285737 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 90285696 and 90285705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90285749) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16441 + ... + 21233.

It is an arithmetic number, because the mean of its divisors is an integer number (3490032).

Almost surely, 290285741 is an apocalyptic number.

90285741 is a gapful number since it is divisible by the number (91) formed by its first and last digit.

It is an amenable number.

90285741 is a deficient number, since it is larger than the sum of its proper divisors (77235795).

90285741 is a wasteful number, since it uses less digits than its factorization.

90285741 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4842 (or 4839 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 90285741 is about 9501.8809190602. The cubic root of 90285741 is about 448.6142406866.

The spelling of 90285741 in words is "ninety million, two hundred eighty-five thousand, seven hundred forty-one".

Divisors: 1 3 7 9 13 21 23 39 63 69 91 117 161 207 273 299 483 819 897 1449 2093 2691 4793 6279 14379 18837 33551 43137 62309 100653 110239 186927 301959 330717 436163 560781 771673 992151 1308489 1433107 2315019 3925467 4299321 6945057 10031749 12897963 30095247 90285741