Search a number
-
+
686442450 = 2352191072251
BaseRepresentation
bin101000111010100…
…100011111010010
31202211122220000110
4220322210133102
52401212124300
6152040502150
723003443641
oct5072443722
91684586013
10686442450
1132252a411
12171a7a956
13ac2a3485
1467249358
15403e5550
hex28ea47d2

686442450 has 96 divisors (see below), whose sum is σ = 1809527040. Its totient is φ = 171720000.

The previous prime is 686442443. The next prime is 686442457. The reversal of 686442450 is 54244686.

686442450 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (686442443) and next prime (686442457).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 686442399 and 686442408.

It is not an unprimeable number, because it can be changed into a prime (686442457) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 303825 + ... + 306075.

It is an arithmetic number, because the mean of its divisors is an integer number (18849240).

Almost surely, 2686442450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 686442450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (904763520).

686442450 is an abundant number, since it is smaller than the sum of its proper divisors (1123084590).

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

686442450 is a wasteful number, since it uses less digits than its factorization.

686442450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2392 (or 2387 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 39.

The square root of 686442450 is about 26200.0467556835. The cubic root of 686442450 is about 882.1343037239.

The spelling of 686442450 in words is "six hundred eighty-six million, four hundred forty-two thousand, four hundred fifty".

Divisors: 1 2 3 5 6 10 15 19 25 30 38 50 57 75 95 107 114 150 190 214 285 321 475 535 570 642 950 1070 1425 1605 2033 2251 2675 2850 3210 4066 4502 5350 6099 6753 8025 10165 11255 12198 13506 16050 20330 22510 30495 33765 42769 50825 56275 60990 67530 85538 101650 112550 128307 152475 168825 213845 240857 256614 304950 337650 427690 481714 641535 722571 1069225 1204285 1283070 1445142 2138450 2408570 3207675 3612855 4576283 6021425 6415350 7225710 9152566 12042850 13728849 18064275 22881415 27457698 36128550 45762830 68644245 114407075 137288490 228814150 343221225 686442450