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290864 = 247353
BaseRepresentation
bin1000111000000110000
3112202222202
41013000300
533301424
610122332
72321000
oct1070060
9482882
10290864
11189592
121203a8
13a2512
1478000
155b2ae
hex47030

290864 has 40 divisors (see below), whose sum is σ = 669600. Its totient is φ = 122304.

The previous prime is 290861. The next prime is 290869. The reversal of 290864 is 468092.

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 290864.

It is not an unprimeable number, because it can be changed into a prime (290861) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5462 + ... + 5514.

It is an arithmetic number, because the mean of its divisors is an integer number (16740).

2290864 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 290864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334800).

290864 is an abundant number, since it is smaller than the sum of its proper divisors (378736).

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

290864 is an equidigital number, since it uses as much as digits as its factorization.

290864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 290864 is about 539.3180879592. The cubic root of 290864 is about 66.2567288763.

The spelling of 290864 in words is "two hundred ninety thousand, eight hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 49 53 56 98 106 112 196 212 343 371 392 424 686 742 784 848 1372 1484 2597 2744 2968 5194 5488 5936 10388 18179 20776 36358 41552 72716 145432 290864