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290448 = 24322017
BaseRepresentation
bin1000110111010010000
3112202102100
41012322100
533243243
610120400
72316534
oct1067220
9482370
10290448
11189244
12120100
13a2282
1477bc4
155b0d3
hex46e90

290448 has 30 divisors (see below), whose sum is σ = 813254. Its totient is φ = 96768.

The previous prime is 290447. The next prime is 290471. The reversal of 290448 is 844092.

290448 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 278784 + 11664 = 528^2 + 108^2 .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 290448.

It is not an unprimeable number, because it can be changed into a prime (290441) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 865 + ... + 1152.

2290448 is an apocalyptic number.

It is an amenable number.

290448 is an abundant number, since it is smaller than the sum of its proper divisors (522806).

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

290448 is a wasteful number, since it uses less digits than its factorization.

290448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2031 (or 2022 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 290448 is about 538.9322777493. The cubic root of 290448 is about 66.2251265353.

The spelling of 290448 in words is "two hundred ninety thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 2017 4034 6051 8068 12102 16136 18153 24204 32272 36306 48408 72612 96816 145224 290448