Search a number
-
+
426491640 = 233251497951
BaseRepresentation
bin11001011010111…
…011111011111000
31002201112000112200
4121122323323320
51333140213030
6110153110200
713366055601
oct3132737370
91081460480
10426491640
111a981a533
12ba9b8360
136a488723
14408dcda8
1527697d60
hex196bbef8

426491640 has 96 divisors (see below), whose sum is σ = 1395576000. Its totient is φ = 112953600.

The previous prime is 426491633. The next prime is 426491669. The reversal of 426491640 is 46194624.

426491640 is a `hidden beast` number, since 4 + 2 + 6 + 4 + 9 + 1 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 426491595 and 426491604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49665 + ... + 57615.

It is an arithmetic number, because the mean of its divisors is an integer number (14537250).

Almost surely, 2426491640 is an apocalyptic number.

426491640 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 426491640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697788000).

426491640 is an abundant number, since it is smaller than the sum of its proper divisors (969084360).

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

426491640 is a wasteful number, since it uses less digits than its factorization.

426491640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8117 (or 8110 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 426491640 is about 20651.6740241560. The cubic root of 426491640 is about 752.7258675258.

The spelling of 426491640 in words is "four hundred twenty-six million, four hundred ninety-one thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 149 180 298 360 447 596 745 894 1192 1341 1490 1788 2235 2682 2980 3576 4470 5364 5960 6705 7951 8940 10728 13410 15902 17880 23853 26820 31804 39755 47706 53640 63608 71559 79510 95412 119265 143118 159020 190824 238530 286236 318040 357795 477060 572472 715590 954120 1184699 1431180 2369398 2862360 3554097 4738796 5923495 7108194 9477592 10662291 11846990 14216388 17770485 21324582 23693980 28432776 35540970 42649164 47387960 53311455 71081940 85298328 106622910 142163880 213245820 426491640