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5259500052 = 22317318211013
BaseRepresentation
bin1001110010111110…
…11001101000010100
3111120112200021201020
410321133121220110
541232413000202
62225521201140
7244223004252
oct47137315024
914515607636
105259500052
11225993a264
1210294901b0
1365a849411
1437c7315d2
1520bb155bc
hex1397d9a14

5259500052 has 96 divisors (see below), whose sum is σ = 13442817024. Its totient is φ = 1593292800.

The previous prime is 5259500039. The next prime is 5259500053. The reversal of 5259500052 is 2500059525.

It is a super-4 number, since 4×52595000524 (a number of 40 digits) contains 4444 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 5259499986 and 5259500022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5259500053) 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, 5191498 + ... + 5192510.

It is an arithmetic number, because the mean of its divisors is an integer number (140029344).

Almost surely, 25259500052 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 5259500052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6721408512).

5259500052 is an abundant number, since it is smaller than the sum of its proper divisors (8183316972).

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

5259500052 is a wasteful number, since it uses less digits than its factorization.

5259500052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1889 (or 1887 counting only the distinct ones).

The product of its (nonzero) digits is 22500, while the sum is 33.

The square root of 5259500052 is about 72522.4106880073. The cubic root of 5259500052 is about 1739.0610219822.

Adding to 5259500052 its reverse (2500059525), we get a palindrome (7759559577).

The spelling of 5259500052 in words is "five billion, two hundred fifty-nine million, five hundred thousand, fifty-two".

Divisors: 1 2 3 4 6 12 17 31 34 51 62 68 93 102 124 186 204 372 527 821 1013 1054 1581 1642 2026 2108 2463 3039 3162 3284 4052 4926 6078 6324 9852 12156 13957 17221 25451 27914 31403 34442 41871 50902 51663 55828 62806 68884 76353 83742 94209 101804 103326 125612 152706 167484 188418 206652 305412 376836 432667 533851 831673 865334 1067702 1298001 1601553 1663346 1730668 2135404 2495019 2596002 3203106 3326692 4990038 5192004 6406212 9980076 14138441 25781863 28276882 42415323 51563726 56553764 77345589 84830646 103127452 154691178 169661292 309382356 438291671 876583342 1314875013 1753166684 2629750026 5259500052