Search a number
-
+
9084026880 = 214345372
BaseRepresentation
bin10000111010111001…
…10100000000000000
3212110002012101020000
420131130310000000
5122101002330010
64101222120000
7441052645245
oct103534640000
925402171200
109084026880
113941772935
121916280000
13b19cc0546
146226495cc
153827787c0
hex21d734000

9084026880 has 450 divisors, whose sum is σ = 33470900694. Its totient is φ = 2356936704.

The previous prime is 9084026879. The next prime is 9084026899. The reversal of 9084026880 is 886204809.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 4464377856 + 4619649024 = 66816^2 + 67968^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 29 ways as a sum of consecutive naturals, for example, 245514222 + ... + 245514258.

Almost surely, 29084026880 is an apocalyptic number.

9084026880 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9084026880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16735450347).

9084026880 is an abundant number, since it is smaller than the sum of its proper divisors (24386873814).

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

9084026880 is an frugal number, since it uses more digits than its factorization.

9084026880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 9084026880 is about 95310.1614729510. The cubic root of 9084026880 is about 2086.5372235890.

Multiplying 9084026880 by its sum of digits (45), we get a square (408781209600 = 6393602).

9084026880 divided by its sum of digits (45) gives a square (201867264 = 142082).

The spelling of 9084026880 in words is "nine billion, eighty-four million, twenty-six thousand, eight hundred eighty".