Search a number
-
+
292421250 = 232541117139
BaseRepresentation
bin10001011011011…
…111111010000010
3202101020112112200
4101123133322002
51044324440000
645003334030
710150353042
oct2133377202
9671215480
10292421250
11140078460
1281b21316
1348776334
142ab9d722
151aa13500
hex116dfe82

292421250 has 240 divisors, whose sum is σ = 921080160. Its totient is φ = 66240000.

The previous prime is 292421243. The next prime is 292421257. The reversal of 292421250 is 52124292.

It is a happy number.

292421250 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (292421243) and next prime (292421257).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (292421257) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2103681 + ... + 2103819.

It is an arithmetic number, because the mean of its divisors is an integer number (3837834).

Almost surely, 2292421250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 292421250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460540080).

292421250 is an abundant number, since it is smaller than the sum of its proper divisors (628658910).

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

292421250 is a wasteful number, since it uses less digits than its factorization.

292421250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 292421250 is about 17100.3289442046. The cubic root of 292421250 is about 663.7476193431.

The spelling of 292421250 in words is "two hundred ninety-two million, four hundred twenty-one thousand, two hundred fifty".