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2395257540 = 2235133139811
BaseRepresentation
bin1000111011000100…
…1011101011000100
320011221002200122020
42032301023223010
514401141220130
61033402403140
7113233232064
oct21661135304
96157080566
102395257540
11101a073495
1256a2004b0
132c2318170
1418a1873a4
15e043ae10
hex8ec4bac4

2395257540 has 96 divisors (see below), whose sum is σ = 7246436736. Its totient is φ = 587658240.

The previous prime is 2395257511. The next prime is 2395257541. The reversal of 2395257540 is 457525932.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 2395257492 and 2395257501.

It is not an unprimeable number, because it can be changed into a prime (2395257541) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 239235 + ... + 249045.

It is an arithmetic number, because the mean of its divisors is an integer number (75483716).

Almost surely, 22395257540 is an apocalyptic number.

2395257540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2395257540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3623218368).

2395257540 is an abundant number, since it is smaller than the sum of its proper divisors (4851179196).

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

2395257540 is a wasteful number, since it uses less digits than its factorization.

2395257540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10149 (or 10147 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 42.

The square root of 2395257540 is about 48941.3683911678. The cubic root of 2395257540 is about 1337.9834411584.

The spelling of 2395257540 in words is "two billion, three hundred ninety-five million, two hundred fifty-seven thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 313 390 626 780 939 1252 1565 1878 3130 3756 4069 4695 6260 8138 9390 9811 12207 16276 18780 19622 20345 24414 29433 39244 40690 48828 49055 58866 61035 81380 98110 117732 122070 127543 147165 196220 244140 255086 294330 382629 510172 588660 637715 765258 1275430 1530516 1913145 2550860 3070843 3826290 6141686 7652580 9212529 12283372 15354215 18425058 30708430 36850116 39920959 46062645 61416860 79841918 92125290 119762877 159683836 184250580 199604795 239525754 399209590 479051508 598814385 798419180 1197628770 2395257540