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290048 = 2811103
BaseRepresentation
bin1000110110100000000
3112201212112
41012310000
533240143
610114452
72315423
oct1066400
9481775
10290048
11188a10
1211ba28
13a2035
14779ba
155ae18
hex46d00

290048 has 36 divisors (see below), whose sum is σ = 637728. Its totient is φ = 130560.

The previous prime is 290047. The next prime is 290057. The reversal of 290048 is 840092.

It is a super-3 number, since 3×2900483 = 73203337213771776, which contains 333 as substring.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 290048.

It is not an unprimeable number, because it can be changed into a prime (290041) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2765 + ... + 2867.

2290048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 290048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318864).

290048 is an abundant number, since it is smaller than the sum of its proper divisors (347680).

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

290048 is a wasteful number, since it uses less digits than its factorization.

290048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 290048 is about 538.5610457506. The cubic root of 290048 is about 66.1947111993.

The spelling of 290048 in words is "two hundred ninety thousand, forty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 103 128 176 206 256 352 412 704 824 1133 1408 1648 2266 2816 3296 4532 6592 9064 13184 18128 26368 36256 72512 145024 290048