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90009018 = 23211835477
BaseRepresentation
bin1010101110101…
…10110110111010
320021100221011100
411113112312322
5141020242033
612533112230
72142030651
oct527266672
9207327140
1090009018
1146898120
1226188676
1315856098
14bd50198
157d7e513
hex55d6dba

90009018 has 48 divisors (see below), whose sum is σ = 215351136. Its totient is φ = 26941920.

The previous prime is 90009001. The next prime is 90009037. The reversal of 90009018 is 81090009.

It is a junction number, because it is equal to n+sod(n) for n = 90008982 and 90009000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13696 + ... + 19172.

It is an arithmetic number, because the mean of its divisors is an integer number (4486482).

Almost surely, 290009018 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90009018, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107675568).

90009018 is an abundant number, since it is smaller than the sum of its proper divisors (125342118).

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

90009018 is a wasteful number, since it uses less digits than its factorization.

90009018 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5579 (or 5576 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The square root of 90009018 is about 9487.3082589320. The cubic root of 90009018 is about 448.1554420477.

The spelling of 90009018 in words is "ninety million, nine thousand, eighteen".

Divisors: 1 2 3 6 9 11 18 22 33 66 83 99 166 198 249 498 747 913 1494 1826 2739 5477 5478 8217 10954 16431 16434 32862 49293 60247 98586 120494 180741 361482 454591 542223 909182 1084446 1363773 2727546 4091319 5000501 8182638 10001002 15001503 30003006 45004509 90009018