Search a number
-
+
90149358 = 23138871303
BaseRepresentation
bin1010101111110…
…01000111101110
320021122001200010
411113321013232
5141034234413
612540114050
72143154055
oct527710756
9207561603
1090149358
1146983602
1226235926
13158a4c20
14bd8939c
157daadc3
hex55f91ee

90149358 has 32 divisors (see below), whose sum is σ = 194535936. Its totient is φ = 27685728.

The previous prime is 90149347. The next prime is 90149359. The reversal of 90149358 is 85394109.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90149359) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 68535 + ... + 69837.

It is an arithmetic number, because the mean of its divisors is an integer number (6079248).

Almost surely, 290149358 is an apocalyptic number.

90149358 is an abundant number, since it is smaller than the sum of its proper divisors (104386578).

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

90149358 is a wasteful number, since it uses less digits than its factorization.

90149358 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2208.

The product of its (nonzero) digits is 38880, while the sum is 39.

The square root of 90149358 is about 9494.7015750891. The cubic root of 90149358 is about 448.3882390004.

The spelling of 90149358 in words is "ninety million, one hundred forty-nine thousand, three hundred fifty-eight".

Divisors: 1 2 3 6 13 26 39 78 887 1303 1774 2606 2661 3909 5322 7818 11531 16939 23062 33878 34593 50817 69186 101634 1155761 2311522 3467283 6934566 15024893 30049786 45074679 90149358