Search a number
-
+
90909918 = 23311314937
BaseRepresentation
bin1010110101100…
…10110011011110
320100001200222000
411122302303132
5141233104133
613004303130
72152502331
oct532626336
9210050860
1090909918
1147352a70
1226541aa6
1315ab0168
14c106618
157eab413
hex56b2cde

90909918 has 64 divisors (see below), whose sum is σ = 227543040. Its totient is φ = 26654400.

The previous prime is 90909901. The next prime is 90909919. The reversal of 90909918 is 81990909.

It is a super-2 number, since 2×909099182 = 16529226381533448, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90909919) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15946 + ... + 20882.

It is an arithmetic number, because the mean of its divisors is an integer number (3555360).

Almost surely, 290909918 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90909918, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113771520).

90909918 is an abundant number, since it is smaller than the sum of its proper divisors (136633122).

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

90909918 is a wasteful number, since it uses less digits than its factorization.

90909918 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4990 (or 4984 counting only the distinct ones).

The product of its (nonzero) digits is 52488, while the sum is 45.

The square root of 90909918 is about 9534.6692653705. The cubic root of 90909918 is about 449.6456766398.

The spelling of 90909918 in words is "ninety million, nine hundred nine thousand, nine hundred eighteen".

Divisors: 1 2 3 6 9 11 18 22 27 31 33 54 62 66 93 99 186 198 279 297 341 558 594 682 837 1023 1674 2046 3069 4937 6138 9207 9874 14811 18414 29622 44433 54307 88866 108614 133299 153047 162921 266598 306094 325842 459141 488763 918282 977526 1377423 1466289 1683517 2754846 2932578 3367034 4132269 5050551 8264538 10101102 15151653 30303306 45454959 90909918