Search a number
-
+
2465839152 = 243372196131
BaseRepresentation
bin1001001011111001…
…1011100000110000
320100211220121102000
42102332123200300
520022223323102
61044403254000
7115051200300
oct22276334060
96324817360
102465839152
1110559a14a7
1258997a300
13303b2b62a
141956bb600
15e672e01c
hex92f9b830

2465839152 has 240 divisors, whose sum is σ = 8668195200. Its totient is φ = 667336320.

The previous prime is 2465839127. The next prime is 2465839153. The reversal of 2465839152 is 2519385642.

2465839152 is a `hidden beast` number, since 2 + 465 + 8 + 39 + 152 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2465839098 and 2465839107.

It is not an unprimeable number, because it can be changed into a prime (2465839153) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 399127 + ... + 405257.

It is an arithmetic number, because the mean of its divisors is an integer number (36117480).

Almost surely, 22465839152 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 2465839152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4334097600).

2465839152 is an abundant number, since it is smaller than the sum of its proper divisors (6202356048).

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

2465839152 is a wasteful number, since it uses less digits than its factorization.

2465839152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6181 (or 6162 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The square root of 2465839152 is about 49657.2165148229. The cubic root of 2465839152 is about 1350.9986487319.

The spelling of 2465839152 in words is "two billion, four hundred sixty-five million, eight hundred thirty-nine thousand, one hundred fifty-two".