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5252801508 = 22331715491847
BaseRepresentation
bin1001110010001011…
…10110001111100100
3111120002001222001000
410321011312033210
541224204122013
62225121433300
7244112035053
oct47105661744
914502058030
105252801508
112256084579
12102719b830
13659342496
1437b8aa39a
1520b240973
hex1391763e4

5252801508 has 96 divisors (see below), whose sum is σ = 14436576000. Its totient is φ = 1645982208.

The previous prime is 5252801471. The next prime is 5252801509. The reversal of 5252801508 is 8051082525.

5252801508 is a `hidden beast` number, since 525 + 2 + 80 + 1 + 50 + 8 = 666.

It is a super-3 number, since 3×52528015083 (a number of 30 digits) contains 333 as substring.

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 (5252801509) 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 31 ways as a sum of consecutive naturals, for example, 2843041 + ... + 2844887.

It is an arithmetic number, because the mean of its divisors is an integer number (150381000).

Almost surely, 25252801508 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 5252801508, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7218288000).

5252801508 is an abundant number, since it is smaller than the sum of its proper divisors (9183774492).

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

5252801508 is a wasteful number, since it uses less digits than its factorization.

5252801508 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3426 (or 3418 counting only the distinct ones).

The product of its (nonzero) digits is 32000, while the sum is 36.

The square root of 5252801508 is about 72476.2133944648. The cubic root of 5252801508 is about 1738.3224140246.

The spelling of 5252801508 in words is "five billion, two hundred fifty-two million, eight hundred one thousand, five hundred eight".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 102 108 153 204 306 459 612 918 1549 1836 1847 3098 3694 4647 5541 6196 7388 9294 11082 13941 16623 18588 22164 26333 27882 31399 33246 41823 49869 52666 55764 62798 66492 78999 83646 94197 99738 105332 125596 157998 167292 188394 199476 236997 282591 315996 376788 473994 565182 710991 847773 947988 1130364 1421982 1695546 2843964 2861003 3391092 5722006 8583009 11444012 17166018 25749027 34332036 48637051 51498054 77247081 97274102 102996108 145911153 154494162 194548204 291822306 308988324 437733459 583644612 875466918 1313200377 1750933836 2626400754 5252801508