Search a number
-
+
2399129376 = 25372539623
BaseRepresentation
bin1000111011111111…
…1100111100100000
320012012101101210120
42032333330330200
514403134120001
61034021400240
7113311156200
oct21677747440
96165341716
102399129376
111021278456
1256b569080
132c30725a7
1418a8b4400
15e0953236
hex8effcf20

2399129376 has 144 divisors (see below), whose sum is σ = 7464913344. Its totient is φ = 672462336.

The previous prime is 2399129347. The next prime is 2399129377. The reversal of 2399129376 is 6739219932.

It is a super-2 number, since 2×23991293762 = 11511643525572298752, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2399129377) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 244501 + ... + 254123.

It is an arithmetic number, because the mean of its divisors is an integer number (51839676).

Almost surely, 22399129376 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 2399129376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3732456672).

2399129376 is an abundant number, since it is smaller than the sum of its proper divisors (5065783968).

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

2399129376 is a wasteful number, since it uses less digits than its factorization.

2399129376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9703 (or 9688 counting only the distinct ones).

The product of its digits is 1102248, while the sum is 51.

The square root of 2399129376 is about 48980.9082806761. The cubic root of 2399129376 is about 1338.7039849193.

The spelling of 2399129376 in words is "two billion, three hundred ninety-nine million, one hundred twenty-nine thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 53 56 84 96 98 106 112 147 159 168 196 212 224 294 318 336 371 392 424 588 636 672 742 784 848 1113 1176 1272 1484 1568 1696 2226 2352 2544 2597 2968 4452 4704 5088 5194 5936 7791 8904 9623 10388 11872 15582 17808 19246 20776 28869 31164 35616 38492 41552 57738 62328 67361 76984 83104 115476 124656 134722 153968 202083 230952 249312 269444 307936 404166 461904 471527 510019 538888 808332 923808 943054 1020038 1077776 1414581 1530057 1616664 1886108 2040076 2155552 2829162 3060114 3233328 3570133 3772216 4080152 5658324 6120228 6466656 7140266 7544432 8160304 10710399 11316648 12240456 14280532 15088864 16320608 21420798 22633296 24480912 24990931 28561064 42841596 45266592 48961824 49981862 57122128 74972793 85683192 99963724 114244256 149945586 171366384 199927448 299891172 342732768 399854896 599782344 799709792 1199564688 2399129376