Search a number
-
+
2315251296 = 253311812269
BaseRepresentation
bin1000100111111111…
…1110111001100000
312222100112221201000
42021333332321200
514220201020141
61021423512000
7111242211531
oct21177767140
95870487630
102315251296
11a88998626
12547458600
132ab884ca7
1417d6bc688
15d83d55b6
hex89ffee60

2315251296 has 96 divisors (see below), whose sum is σ = 6761512800. Its totient is φ = 770757120.

The previous prime is 2315251247. The next prime is 2315251303. The reversal of 2315251296 is 6921525132.

It is a happy number.

2315251296 is a `hidden beast` number, since 2 + 3 + 1 + 52 + 512 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2315251296.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1019250 + ... + 1021518.

It is an arithmetic number, because the mean of its divisors is an integer number (70432425).

Almost surely, 22315251296 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 2315251296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3380756400).

2315251296 is an abundant number, since it is smaller than the sum of its proper divisors (4446261504).

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

2315251296 is a wasteful number, since it uses less digits than its factorization.

2315251296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3469 (or 3455 counting only the distinct ones).

The product of its digits is 32400, while the sum is 36.

The square root of 2315251296 is about 48117.0582641957. The cubic root of 2315251296 is about 1322.9173492312.

The spelling of 2315251296 in words is "two billion, three hundred fifteen million, two hundred fifty-one thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 1181 2269 2362 3543 4538 4724 6807 7086 9076 9448 10629 13614 14172 18152 18896 20421 21258 27228 28344 31887 36304 37792 40842 42516 54456 56688 61263 63774 72608 81684 85032 108912 113376 122526 127548 163368 170064 217824 245052 255096 326736 340128 490104 510192 653472 980208 1020384 1960416 2679689 5359378 8039067 10718756 16078134 21437512 24117201 32156268 42875024 48234402 64312536 72351603 85750048 96468804 128625072 144703206 192937608 257250144 289406412 385875216 578812824 771750432 1157625648 2315251296