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652828638 = 237112196761
BaseRepresentation
bin100110111010010…
…101111111011110
31200111102010112110
4212322111333132
52314111004023
6144440214450
722114644330
oct4672257736
91614363473
10652828638
11305560900
1216276a426
13a5334647
14629b9450
153c4a5a93
hex26e95fde

652828638 has 96 divisors (see below), whose sum is σ = 1726744320. Its totient is φ = 160617600.

The previous prime is 652828601. The next prime is 652828643. The reversal of 652828638 is 836828256.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 93178 + ... + 99938.

It is an arithmetic number, because the mean of its divisors is an integer number (17986920).

Almost surely, 2652828638 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 652828638, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (863372160).

652828638 is an abundant number, since it is smaller than the sum of its proper divisors (1073915682).

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

652828638 is a wasteful number, since it uses less digits than its factorization.

652828638 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6814 (or 6803 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 48.

The square root of 652828638 is about 25550.5115017293. The cubic root of 652828638 is about 867.4938392318.

It can be divided in two parts, 65282 and 8638, that added together give a triangular number (73920 = T384).

The spelling of 652828638 in words is "six hundred fifty-two million, eight hundred twenty-eight thousand, six hundred thirty-eight".

Divisors: 1 2 3 6 7 11 14 19 21 22 33 38 42 57 66 77 114 121 133 154 209 231 242 266 363 399 418 462 627 726 798 847 1254 1463 1694 2299 2541 2926 4389 4598 5082 6761 6897 8778 13522 13794 16093 20283 32186 40566 47327 48279 74371 94654 96558 128459 141981 148742 223113 256918 283962 385377 446226 520597 770754 818081 899213 1041194 1413049 1561791 1636162 1798426 2454243 2697639 2826098 3123582 4239147 4908486 5395278 5726567 8478294 9891343 11453134 15543539 17179701 19782686 29674029 31087078 34359402 46630617 59348058 93261234 108804773 217609546 326414319 652828638