Search a number
-
+
426424240 = 245111732801
BaseRepresentation
bin11001011010101…
…011011110110000
31002201101121002101
4121122223132300
51333131033430
6110151430144
713365355234
oct3132533660
91081347071
10426424240
111a9783930
12ba985354
136a463b48
14408c25c4
1527682dca
hex196ab7b0

426424240 has 80 divisors (see below), whose sum is σ = 1088207136. Its totient is φ = 154112000.

The previous prime is 426424237. The next prime is 426424291. The reversal of 426424240 is 42424624.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 426424199 and 426424208.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 150840 + ... + 153640.

Almost surely, 2426424240 is an apocalyptic number.

426424240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 426424240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544103568).

426424240 is an abundant number, since it is smaller than the sum of its proper divisors (661782896).

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

426424240 is a wasteful number, since it uses less digits than its factorization.

426424240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2998 (or 2992 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

The square root of 426424240 is about 20650.0421307076. The cubic root of 426424240 is about 752.6862134494.

Adding to 426424240 its reverse (42424624), we get a palindrome (468848864).

The spelling of 426424240 in words is "four hundred twenty-six million, four hundred twenty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 173 176 220 346 440 692 865 880 1384 1730 1903 2768 2801 3460 3806 5602 6920 7612 9515 11204 13840 14005 15224 19030 22408 28010 30448 30811 38060 44816 56020 61622 76120 112040 123244 152240 154055 224080 246488 308110 484573 492976 616220 969146 1232440 1938292 2422865 2464880 3876584 4845730 5330303 7753168 9691460 10660606 19382920 21321212 26651515 38765840 42642424 53303030 85284848 106606060 213212120 426424240