Search a number
-
+
290612532 = 22372509971
BaseRepresentation
bin10001010100100…
…110010100110100
3202020211122110010
4101110212110310
51043344100112
644500500220
710126110600
oct2124462464
9666748403
10290612532
1113a052551
12813aa670
1348291ca2
142a84c500
151a7a763c
hex11526534

290612532 has 72 divisors (see below), whose sum is σ = 791169120. Its totient is φ = 82783680.

The previous prime is 290612513. The next prime is 290612549. The reversal of 290612532 is 235216092.

290612532 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 290612532.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 298807 + ... + 299777.

It is an arithmetic number, because the mean of its divisors is an integer number (10988460).

Almost surely, 2290612532 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 290612532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395584560).

290612532 is an abundant number, since it is smaller than the sum of its proper divisors (500556588).

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

290612532 is a wasteful number, since it uses less digits than its factorization.

290612532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1501 (or 1492 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 290612532 is about 17047.3614380642. The cubic root of 290612532 is about 662.3762916991.

The spelling of 290612532 in words is "two hundred ninety million, six hundred twelve thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 509 588 971 1018 1527 1942 2036 2913 3054 3563 3884 5826 6108 6797 7126 10689 11652 13594 14252 20391 21378 24941 27188 40782 42756 47579 49882 74823 81564 95158 99764 142737 149646 190316 285474 299292 494239 570948 988478 1482717 1976956 2965434 3459673 5930868 6919346 10379019 13838692 20758038 24217711 41516076 48435422 72653133 96870844 145306266 290612532