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5224316292 = 2235133113337
BaseRepresentation
bin1001101110110010…
…01011110110000100
3111111002110202200000
410313121023312010
541144411110132
62222223121300
7243314645556
oct46731136604
914432422600
105224316292
112240a99178
121019743230
1365347ab20
14377bb34d6
152089b587c
hex13764bd84

5224316292 has 144 divisors (see below), whose sum is σ = 15225380352. Its totient is φ = 1555511040.

The previous prime is 5224316239. The next prime is 5224316297. The reversal of 5224316292 is 2926134225.

5224316292 is a `hidden beast` number, since 5 + 2 + 24 + 3 + 1 + 629 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (5224316297) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 385048 + ... + 398384.

It is an arithmetic number, because the mean of its divisors is an integer number (105731808).

Almost surely, 25224316292 is an apocalyptic number.

5224316292 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5224316292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7612690176).

5224316292 is an abundant number, since it is smaller than the sum of its proper divisors (10001064060).

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

5224316292 is a wasteful number, since it uses less digits than its factorization.

5224316292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13400 (or 13386 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 5224316292 is about 72279.4320121568. The cubic root of 5224316292 is about 1735.1744895614.

The spelling of 5224316292 in words is "five billion, two hundred twenty-four million, three hundred sixteen thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 31 36 39 52 54 62 78 81 93 108 117 124 156 162 186 234 243 279 324 351 372 403 468 486 558 702 806 837 972 1053 1116 1209 1404 1612 1674 2106 2418 2511 3159 3348 3627 4212 4836 5022 6318 7254 7533 10044 10881 12636 13337 14508 15066 21762 26674 30132 32643 40011 43524 53348 65286 80022 97929 120033 130572 160044 173381 195858 240066 346762 360099 391716 413447 480132 520143 693524 720198 826894 1040286 1080297 1240341 1440396 1560429 1653788 2080572 2160594 2480682 3120858 3240891 3721023 4321188 4681287 4961364 5374811 6241716 6481782 7442046 9362574 10749622 11163069 12963564 14043861 14884092 16124433 18725148 21499244 22326138 28087722 32248866 33489207 42131583 44652276 48373299 56175444 64497732 66978414 84263166 96746598 100467621 133956828 145119897 168526332 193493196 200935242 290239794 401870484 435359691 580479588 870719382 1306079073 1741438764 2612158146 5224316292