Search a number
-
+
426303500 = 225373492
BaseRepresentation
bin11001011010001…
…110000000001100
31002201011110110112
4121122032000030
51333113203000
6110145055152
713364343230
oct3132160014
91081143415
10426303500
111a9701147
12ba9274b8
136a420bbc
14408905c0
152765c235
hex1968e00c

426303500 has 72 divisors (see below), whose sum is σ = 1067111136. Its totient is φ = 145742400.

The previous prime is 426303491. The next prime is 426303511. The reversal of 426303500 is 5303624.

It is a super-2 number, since 2×4263035002 = 363469348224500000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1221326 + ... + 1221674.

It is an arithmetic number, because the mean of its divisors is an integer number (14820988).

Almost surely, 2426303500 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 426303500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533555568).

426303500 is an abundant number, since it is smaller than the sum of its proper divisors (640807636).

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

426303500 is an equidigital number, since it uses as much as digits as its factorization.

426303500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 724 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 23.

The square root of 426303500 is about 20647.1184430177. The cubic root of 426303500 is about 752.6151669003.

The spelling of 426303500 in words is "four hundred twenty-six million, three hundred three thousand, five hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 125 140 175 250 349 350 500 698 700 875 1396 1745 1750 2443 3490 3500 4886 6980 8725 9772 12215 17450 24430 34900 43625 48860 61075 87250 121801 122150 174500 243602 244300 305375 487204 609005 610750 852607 1218010 1221500 1705214 2436020 3045025 3410428 4263035 6090050 8526070 12180100 15225125 17052140 21315175 30450250 42630350 60900500 85260700 106575875 213151750 426303500