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426194300 = 22527896841
BaseRepresentation
bin11001011001110…
…011010101111100
31002200221220200002
4121121303111330
51333101204200
6110142453432
713363406660
oct3131632574
91080856602
10426194300
111a96370a4
12ba894278
136a3b329c
14408628a0
1527639bd5
hex1967357c

426194300 has 72 divisors (see below), whose sum is σ = 1068994080. Its totient is φ = 144460800.

The previous prime is 426194297. The next prime is 426194311. The reversal of 426194300 is 3491624.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 58880 + ... + 65720.

It is an arithmetic number, because the mean of its divisors is an integer number (14847140).

Almost surely, 2426194300 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 426194300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534497040).

426194300 is an abundant number, since it is smaller than the sum of its proper divisors (642799780).

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

426194300 is a wasteful number, since it uses less digits than its factorization.

426194300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6951 (or 6944 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 29.

The square root of 426194300 is about 20644.4738368407. The cubic root of 426194300 is about 752.5508992329.

The spelling of 426194300 in words is "four hundred twenty-six million, one hundred ninety-four thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 89 100 140 175 178 350 356 445 623 700 890 1246 1780 2225 2492 3115 4450 6230 6841 8900 12460 13682 15575 27364 31150 34205 47887 62300 68410 95774 136820 171025 191548 239435 342050 478870 608849 684100 957740 1197175 1217698 2394350 2435396 3044245 4261943 4788700 6088490 8523886 12176980 15221225 17047772 21309715 30442450 42619430 60884900 85238860 106548575 213097150 426194300