Search a number
-
+
290808 = 23327577
BaseRepresentation
bin1000110111111111000
3112202220200
41012333320
533301213
610122200
72320560
oct1067770
9482820
10290808
11189541
12120360
13a249b
1477da0
155b273
hex46ff8

290808 has 48 divisors (see below), whose sum is σ = 901680. Its totient is φ = 82944.

The previous prime is 290803. The next prime is 290821. The reversal of 290808 is 808092.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (290803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 216 + ... + 792.

It is an arithmetic number, because the mean of its divisors is an integer number (18785).

2290808 is an apocalyptic number.

290808 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 290808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450840).

290808 is an abundant number, since it is smaller than the sum of its proper divisors (610872).

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

290808 is a wasteful number, since it uses less digits than its factorization.

290808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 596 (or 589 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 290808 is about 539.2661680469. The cubic root of 290808 is about 66.2524764709.

The spelling of 290808 in words is "two hundred ninety thousand, eight hundred eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 577 1154 1731 2308 3462 4039 4616 5193 6924 8078 10386 12117 13848 16156 20772 24234 32312 36351 41544 48468 72702 96936 145404 290808