Search a number
-
+
90046866 = 23713831987
BaseRepresentation
bin1010101111000…
…00000110010010
320021102212002010
411113200012102
5141022444431
612534003350
72142246210
oct527400622
9207385063
1090046866
11469135a8
12261a6556
131586a390
14bd5dcb0
157d8a846
hex55e0192

90046866 has 64 divisors (see below), whose sum is σ = 224437248. Its totient is φ = 23450688.

The previous prime is 90046843. The next prime is 90046867. The reversal of 90046866 is 66864009.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (90046867) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44325 + ... + 46311.

It is an arithmetic number, because the mean of its divisors is an integer number (3506832).

Almost surely, 290046866 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90046866, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112218624).

90046866 is an abundant number, since it is smaller than the sum of its proper divisors (134390382).

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

90046866 is a wasteful number, since it uses less digits than its factorization.

90046866 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2095.

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 90046866 is about 9489.3027141092. The cubic root of 90046866 is about 448.2182483852.

The spelling of 90046866 in words is "ninety million, forty-six thousand, eight hundred sixty-six".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 78 83 91 166 182 249 273 498 546 581 1079 1162 1743 1987 2158 3237 3486 3974 5961 6474 7553 11922 13909 15106 22659 25831 27818 41727 45318 51662 77493 83454 154986 164921 180817 329842 361634 494763 542451 989526 1084902 1154447 2143973 2308894 3463341 4287946 6431919 6926682 12863838 15007811 30015622 45023433 90046866