Search a number
-
+
2379256 = 2311191423
BaseRepresentation
bin1001000100110111111000
311110212201121
421010313320
51102114011
6122555024
726136415
oct11046770
94425647
102379256
111385630
12968a74
13653c59
1445d10c
1531ee71
hex244df8

2379256 has 32 divisors (see below), whose sum is σ = 5126400. Its totient is φ = 1023840.

The previous prime is 2379253. The next prime is 2379259. The reversal of 2379256 is 6529732.

It is a happy number.

2379256 is digitally balanced in base 2, 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 (2379253) and next prime (2379259).

It is a super-2 number, since 2×23792562 = 11321718227072, which contains 22 as substring.

It is a d-powerful number, because it can be written as 211 + 33 + 7 + 92 + 221 + 5 + 67 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2379253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 961 + ... + 2383.

It is an arithmetic number, because the mean of its divisors is an integer number (160200).

22379256 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 2379256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2563200).

2379256 is an abundant number, since it is smaller than the sum of its proper divisors (2747144).

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

2379256 is a wasteful number, since it uses less digits than its factorization.

2379256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1459 (or 1455 counting only the distinct ones).

The product of its digits is 22680, while the sum is 34.

The square root of 2379256 is about 1542.4837114213. The cubic root of 2379256 is about 133.4997311408.

The spelling of 2379256 in words is "two million, three hundred seventy-nine thousand, two hundred fifty-six".

Divisors: 1 2 4 8 11 19 22 38 44 76 88 152 209 418 836 1423 1672 2846 5692 11384 15653 27037 31306 54074 62612 108148 125224 216296 297407 594814 1189628 2379256