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5252210010 = 23251729118373
BaseRepresentation
bin1001110010000111…
…00101110101011010
3111120000221220122200
410321003211311122
541224031210020
62225101031030
7244104022425
oct47103456532
914500856580
105252210010
112255810133
121026b55476
13659196198
1437b7949bc
1520b175590
hex1390e5d5a

5252210010 has 96 divisors (see below), whose sum is σ = 14957738640. Its totient is φ = 1272735744.

The previous prime is 5252209997. The next prime is 5252210021. The reversal of 5252210010 is 100122525.

It can be written as a sum of positive squares in 8 ways, for example, as 1490963769 + 3761246241 = 38613^2 + 61329^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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, 14817 + ... + 103556.

Almost surely, 25252210010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5252210010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7478869320).

5252210010 is an abundant number, since it is smaller than the sum of its proper divisors (9705528630).

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

5252210010 is a wasteful number, since it uses less digits than its factorization.

5252210010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118432 (or 118429 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 5252210010 is about 72472.1326442102. The cubic root of 5252210010 is about 1738.2571629501.

Adding to 5252210010 its reverse (100122525), we get a palindrome (5352332535).

The spelling of 5252210010 in words is "five billion, two hundred fifty-two million, two hundred ten thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 17 18 29 30 34 45 51 58 85 87 90 102 145 153 170 174 255 261 290 306 435 493 510 522 765 870 986 1305 1479 1530 2465 2610 2958 4437 4930 7395 8874 14790 22185 44370 118373 236746 355119 591865 710238 1065357 1183730 1775595 2012341 2130714 3432817 3551190 4024682 5326785 6037023 6865634 10061705 10298451 10653570 12074046 17164085 18111069 20123410 20596902 30185115 30895353 34328170 36222138 51492255 58357889 60370230 61790706 90555345 102984510 116715778 154476765 175073667 181110690 291789445 308953530 350147334 525221001 583578890 875368335 1050442002 1750736670 2626105005 5252210010