Search a number
-
+
5284973496 = 23311314391471
BaseRepresentation
bin1001110110000001…
…00100101110111000
3111122022121110201010
410323000210232320
541310423122441
62232231153520
7244652350665
oct47300445670
914568543633
105284973496
1122722588a0
121035b158a0
13662bc7c6a
14381c82a6c
1520de98116
hex13b024bb8

5284973496 has 128 divisors (see below), whose sum is σ = 14922547200. Its totient is φ = 1545264000.

The previous prime is 5284973489. The next prime is 5284973509. The reversal of 5284973496 is 6943794825.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3592041 + ... + 3593511.

It is an arithmetic number, because the mean of its divisors is an integer number (116582400).

Almost surely, 25284973496 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 5284973496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7461273600).

5284973496 is an abundant number, since it is smaller than the sum of its proper divisors (9637573704).

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

5284973496 is a wasteful number, since it uses less digits than its factorization.

5284973496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1961 (or 1957 counting only the distinct ones).

The product of its digits is 13063680, while the sum is 57.

The square root of 5284973496 is about 72697.8231861175. The cubic root of 5284973496 is about 1741.8641113408.

The spelling of 5284973496 in words is "five billion, two hundred eighty-four million, nine hundred seventy-three thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 11 12 22 24 31 33 44 62 66 88 93 124 132 186 248 264 341 372 439 682 744 878 1023 1317 1364 1471 1756 2046 2634 2728 2942 3512 4092 4413 4829 5268 5884 8184 8826 9658 10536 11768 13609 14487 16181 17652 19316 27218 28974 32362 35304 38632 40827 45601 48543 54436 57948 64724 81654 91202 97086 108872 115896 129448 136803 149699 163308 182404 194172 273606 299398 326616 364808 388344 449097 501611 547212 598796 645769 898194 1003222 1094424 1197592 1291538 1504833 1796388 1937307 2006444 2583076 3009666 3592776 3874614 4012888 5166152 6019332 7103459 7749228 12038664 14206918 15498456 20018839 21310377 28413836 40037678 42620754 56827672 60056517 80075356 85241508 120113034 160150712 170483016 220207229 240226068 440414458 480452136 660621687 880828916 1321243374 1761657832 2642486748 5284973496