Search a number
-
+
90916881 = 31119373919
BaseRepresentation
bin1010110101101…
…00100000010001
320100002001111220
411122310200101
5141233320011
613004355253
72152531536
oct532644021
9210061456
1090916881
1147358220
1226545b29
1315ab3393
14c108d8d
157ead506
hex56b4811

90916881 has 32 divisors (see below), whose sum is σ = 143001600. Its totient is φ = 50777280.

The previous prime is 90916853. The next prime is 90916883. The reversal of 90916881 is 18861909.

It is not a de Polignac number, because 90916881 - 29 = 90916369 is a prime.

It is a super-2 number, since 2×909168812 = 16531758501536322, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (90916883) 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, 21240 + ... + 25158.

It is an arithmetic number, because the mean of its divisors is an integer number (4468800).

Almost surely, 290916881 is an apocalyptic number.

It is an amenable number.

90916881 is a deficient number, since it is larger than the sum of its proper divisors (52084719).

90916881 is a wasteful number, since it uses less digits than its factorization.

90916881 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3989.

The product of its (nonzero) digits is 31104, while the sum is 42.

The square root of 90916881 is about 9535.0343995184. The cubic root of 90916881 is about 449.6571561460.

The spelling of 90916881 in words is "ninety million, nine hundred sixteen thousand, eight hundred eighty-one".

Divisors: 1 3 11 19 33 37 57 111 209 407 627 703 1221 2109 3919 7733 11757 23199 43109 74461 129327 145003 223383 435009 819071 1595033 2457213 2755057 4785099 8265171 30305627 90916881