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5252052624 = 2437131770729
BaseRepresentation
bin1001110010000101…
…11111011010010000
3111120000122220202120
410321002333122100
541224011140444
62225053414240
7244102465530
oct47102773220
914500586676
105252052624
112255712965
121026a9a380
1365913c660
1437b7534c0
1520b143b19
hex1390bf690

5252052624 has 160 divisors (see below), whose sum is σ = 17681368320. Its totient is φ = 1303658496.

The previous prime is 5252052623. The next prime is 5252052629. The reversal of 5252052624 is 4262502525.

It is not an unprimeable number, because it can be changed into a prime (5252052623) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38892 + ... + 109620.

It is an arithmetic number, because the mean of its divisors is an integer number (110508552).

Almost surely, 25252052624 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 5252052624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8840684160).

5252052624 is an abundant number, since it is smaller than the sum of its proper divisors (12429315696).

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

5252052624 is a wasteful number, since it uses less digits than its factorization.

5252052624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70777 (or 70771 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 33.

The square root of 5252052624 is about 72471.0467980144. The cubic root of 5252052624 is about 1738.2398000956.

The spelling of 5252052624 in words is "five billion, two hundred fifty-two million, fifty-two thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 17 21 24 26 28 34 39 42 48 51 52 56 68 78 84 91 102 104 112 119 136 156 168 182 204 208 221 238 272 273 312 336 357 364 408 442 476 546 624 663 714 728 816 884 952 1092 1326 1428 1456 1547 1768 1904 2184 2652 2856 3094 3536 4368 4641 5304 5712 6188 9282 10608 12376 18564 24752 37128 70729 74256 141458 212187 282916 424374 495103 565832 848748 919477 990206 1131664 1202393 1485309 1697496 1838954 1980412 2404786 2758431 2970618 3394992 3607179 3677908 3960824 4809572 5516862 5941236 6436339 7214358 7355816 7921648 8416751 9619144 11033724 11882472 12872678 14428716 14711632 15631109 16833502 19238288 19309017 22067448 23764944 25250253 25745356 28857432 31262218 33667004 38618034 44134896 46893327 50500506 51490712 57714864 62524436 67334008 77236068 93786654 101001012 102981424 109417763 125048872 134668016 154472136 187573308 202002024 218835526 250097744 308944272 328253289 375146616 404004048 437671052 656506578 750293232 875342104 1313013156 1750684208 2626026312 5252052624