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290048481 = 32281114689
BaseRepresentation
bin10001010010011…
…100100111100001
3202012202222201100
4101102130213201
51043223022411
644440425013
710121241252
oct2122344741
9665688640
10290048481
111397a7798
1281178169
1348125328
142a742b29
151a6e5456
hex1149c9e1

290048481 has 12 divisors (see below), whose sum is σ = 420453540. Its totient is φ = 192675840.

The previous prime is 290048477. The next prime is 290048483. The reversal of 290048481 is 184840092.

It can be written as a sum of positive squares in 2 ways, for example, as 85100625 + 204947856 = 9225^2 + 14316^2 .

It is not a de Polignac number, because 290048481 - 22 = 290048477 is a prime.

It is a super-2 number, since 2×2900484812 = 168256242660814722, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (290048483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 54816 + ... + 59873.

It is an arithmetic number, because the mean of its divisors is an integer number (35037795).

Almost surely, 2290048481 is an apocalyptic number.

It is an amenable number.

290048481 is a deficient number, since it is larger than the sum of its proper divisors (130405059).

290048481 is a wasteful number, since it uses less digits than its factorization.

290048481 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114976 (or 114973 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 290048481 is about 17030.8097576128. The cubic root of 290048481 is about 661.9474779055.

The spelling of 290048481 in words is "two hundred ninety million, forty-eight thousand, four hundred eighty-one".

Divisors: 1 3 9 281 843 2529 114689 344067 1032201 32227609 96682827 290048481