Search a number
-
+
290248 = 2377173
BaseRepresentation
bin1000110110111001000
3112202010221
41012313020
533241443
610115424
72316130
oct1066710
9482127
10290248
11189082
1211bb74
13a215a
1477ac0
155aeed
hex46dc8

290248 has 32 divisors (see below), whose sum is σ = 639360. Its totient is φ = 120960.

The previous prime is 290243. The next prime is 290249. The reversal of 290248 is 842092.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (290243) 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, 3940 + ... + 4012.

It is an arithmetic number, because the mean of its divisors is an integer number (19980).

2290248 is an apocalyptic number.

290248 is a gapful number since it is divisible by the number (28) 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 290248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319680).

290248 is an abundant number, since it is smaller than the sum of its proper divisors (349112).

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

290248 is a wasteful number, since it uses less digits than its factorization.

290248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 290248 is about 538.7466937254. The cubic root of 290248 is about 66.2099223603.

The spelling of 290248 in words is "two hundred ninety thousand, two hundred forty-eight".

Divisors: 1 2 4 7 8 14 28 56 71 73 142 146 284 292 497 511 568 584 994 1022 1988 2044 3976 4088 5183 10366 20732 36281 41464 72562 145124 290248