Search a number
-
+
2516241234 = 231343273239
BaseRepresentation
bin1001010111111010…
…1100101101010010
320111100202022001210
42111332230231102
520123124204414
61053403440550
7116232461163
oct22576545522
96440668053
102516241234
111081397311
125a2826156
133113c7a50
1419c27b76a
15ead87e59
hex95facb52

2516241234 has 96 divisors (see below), whose sum is σ = 5648106240. Its totient is φ = 742742784.

The previous prime is 2516241229. The next prime is 2516241241. The reversal of 2516241234 is 4321426152.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10528087 + ... + 10528325.

It is an arithmetic number, because the mean of its divisors is an integer number (58834440).

Almost surely, 22516241234 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2516241234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2824053120).

2516241234 is an abundant number, since it is smaller than the sum of its proper divisors (3131865006).

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

2516241234 is a wasteful number, since it uses less digits than its factorization.

2516241234 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 373 counting only the distinct ones).

The product of its digits is 11520, while the sum is 30.

The square root of 2516241234 is about 50162.1494156700. The cubic root of 2516241234 is about 1360.1414994786.

Adding to 2516241234 its reverse (4321426152), we get a palindrome (6837667386).

The spelling of 2516241234 in words is "two billion, five hundred sixteen million, two hundred forty-one thousand, two hundred thirty-four".

Divisors: 1 2 3 6 13 26 39 43 73 78 86 129 146 219 239 258 438 478 559 717 949 1118 1434 1677 1849 1898 2847 3107 3139 3354 3698 5547 5694 6214 6278 9321 9417 10277 11094 17447 18642 18834 20554 24037 30831 34894 40807 48074 52341 61662 72111 81614 104682 122421 133601 134977 144222 226811 244842 267202 269954 400803 404931 441911 453622 680433 750221 801606 809862 883822 1325733 1360866 1500442 1754701 2250663 2651466 3509402 4501326 5264103 5744843 9752873 10528206 11489686 17234529 19505746 29258619 32259503 34469058 58517238 64519006 96778509 193557018 419373539 838747078 1258120617 2516241234