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5252805120 = 29351793821
BaseRepresentation
bin1001110010001011…
…10111001000000000
3111120002002010222210
410321011313020000
541224204230440
62225121502120
7244112051433
oct47105671000
914502063883
105252805120
112256087262
1210271a1940
13659344014
1437b8ab81a
1520b241a80
hex139177200

5252805120 has 160 divisors (see below), whose sum is σ = 16890793920. Its totient is φ = 1392558080.

The previous prime is 5252805101. The next prime is 5252805169. The reversal of 5252805120 is 215082525.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1372810 + ... + 1376630.

It is an arithmetic number, because the mean of its divisors is an integer number (105567462).

Almost surely, 25252805120 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 5252805120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8445396960).

5252805120 is an abundant number, since it is smaller than the sum of its proper divisors (11637988800).

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

5252805120 is a wasteful number, since it uses less digits than its factorization.

5252805120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4026 (or 4010 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 30.

The square root of 5252805120 is about 72476.2383129809. The cubic root of 5252805120 is about 1738.3228124672.

Adding to 5252805120 its reverse (215082525), we get a palindrome (5467887645).

The spelling of 5252805120 in words is "five billion, two hundred fifty-two million, eight hundred five thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 179 192 240 256 320 358 384 480 512 537 640 716 768 895 960 1074 1280 1432 1536 1790 1920 2148 2560 2685 2864 3580 3821 3840 4296 5370 5728 7160 7642 7680 8592 10740 11456 11463 14320 15284 17184 19105 21480 22912 22926 28640 30568 34368 38210 42960 45824 45852 57280 57315 61136 68736 76420 85920 91648 91704 114560 114630 122272 137472 152840 171840 183408 229120 229260 244544 274944 305680 343680 366816 458240 458520 489088 611360 683959 687360 733632 917040 978176 1222720 1367918 1374720 1467264 1834080 1956352 2051877 2445440 2735836 2934528 3419795 3668160 4103754 4890880 5471672 5869056 6839590 7336320 8207508 9781760 10259385 10943344 13679180 14672640 16415016 20518770 21886688 27358360 29345280 32830032 41037540 43773376 54716720 65660064 82075080 87546752 109433440 131320128 164150160 175093504 218866880 262640256 328300320 350187008 437733760 525280512 656600640 875467520 1050561024 1313201280 1750935040 2626402560 5252805120