Search a number
-
+
539713416 = 2331117532269
BaseRepresentation
bin100000001010110…
…101111110001000
31101121120021121210
4200022311332020
52101131312131
6125315533120
716242326334
oct4012657610
91347507553
10539713416
11257721750
121308ba1a0
1387a7b368
14519727c4
15325b0146
hex202b5f88

539713416 has 128 divisors (see below), whose sum is σ = 1588636800. Its totient is φ = 150958080.

The previous prime is 539713409. The next prime is 539713417. The reversal of 539713416 is 614317935.

It is not an unprimeable number, because it can be changed into a prime (539713417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 236730 + ... + 238998.

It is an arithmetic number, because the mean of its divisors is an integer number (12411225).

Almost surely, 2539713416 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 539713416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (794318400).

539713416 is an abundant number, since it is smaller than the sum of its proper divisors (1048923384).

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

539713416 is a wasteful number, since it uses less digits than its factorization.

539713416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2359 (or 2355 counting only the distinct ones).

The product of its digits is 68040, while the sum is 39.

The square root of 539713416 is about 23231.7329530106. The cubic root of 539713416 is about 814.1812023278.

The spelling of 539713416 in words is "five hundred thirty-nine million, seven hundred thirteen thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 17 22 24 33 34 44 51 53 66 68 88 102 106 132 136 159 187 204 212 264 318 374 408 424 561 583 636 748 901 1122 1166 1272 1496 1749 1802 2244 2269 2332 2703 3498 3604 4488 4538 4664 5406 6807 6996 7208 9076 9911 10812 13614 13992 18152 19822 21624 24959 27228 29733 38573 39644 49918 54456 59466 74877 77146 79288 99836 115719 118932 120257 149754 154292 199672 231438 237864 240514 299508 308584 360771 424303 462876 481028 599016 721542 848606 925752 962056 1272909 1322827 1443084 1697212 2044369 2545818 2645654 2886168 3394424 3968481 4088738 5091636 5291308 6133107 7936962 8177476 10183272 10582616 12266214 15873924 16354952 22488059 24532428 31747848 44976118 49064856 67464177 89952236 134928354 179904472 269856708 539713416