Search a number
-
+
49424242494 = 231121719320749
BaseRepresentation
bin101110000001111010…
…100001011100111110
311201120110102122210210
4232001322201130332
51302210101224434
634412153013250
73366531062304
oct560172413476
9151513378723
1049424242494
1119a62772a00
1296b40b4226
1348786b1603
14256c098274
151444064ee9
hexb81ea173e

49424242494 has 96 divisors (see below), whose sum is σ = 115644564000. Its totient is φ = 14022328320.

The previous prime is 49424242471. The next prime is 49424242513.

49424242494 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×494242424942 (a number of 22 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 2371632 + ... + 2392380.

It is an arithmetic number, because the mean of its divisors is an integer number (1204630875).

Almost surely, 249424242494 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49424242494, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57822282000).

49424242494 is an abundant number, since it is smaller than the sum of its proper divisors (66220321506).

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

49424242494 is a wasteful number, since it uses less digits than its factorization.

49424242494 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20986 (or 20975 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 48.

The spelling of 49424242494 in words is "forty-nine billion, four hundred twenty-four million, two hundred forty-two thousand, four hundred ninety-four".

Divisors: 1 2 3 6 11 17 22 33 34 51 66 102 121 187 193 242 363 374 386 561 579 726 1122 1158 2057 2123 3281 4114 4246 6171 6369 6562 9843 12342 12738 19686 20749 23353 36091 41498 46706 62247 70059 72182 108273 124494 140118 216546 228239 352733 397001 456478 684717 705466 794002 1058199 1191003 1369434 2116398 2382006 2510629 3880063 4004557 5021258 7531887 7760126 8009114 11640189 12013671 15063774 23280378 24027342 42680693 44050127 68077469 85361386 88100254 128042079 132150381 136154938 204232407 256084158 264300762 408464814 484551397 748852159 969102794 1453654191 1497704318 2246556477 2907308382 4493112954 8237373749 16474747498 24712121247 49424242494