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426594840 = 233571926729
BaseRepresentation
bin11001011011010…
…101001000011000
31002201201021002220
4121123111020120
51333202013330
6110155224040
713366665510
oct3133251030
91081637086
10426594840
111a9890021
12baa48020
136a4c36a9
1440928840
15276b8710
hex196d5218

426594840 has 128 divisors (see below), whose sum is σ = 1539648000. Its totient is φ = 92371968.

The previous prime is 426594809. The next prime is 426594853. The reversal of 426594840 is 48495624.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 426594792 and 426594801.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2596 + ... + 29324.

It is an arithmetic number, because the mean of its divisors is an integer number (12028500).

Almost surely, 2426594840 is an apocalyptic number.

426594840 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 426594840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (769824000).

426594840 is an abundant number, since it is smaller than the sum of its proper divisors (1113053160).

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

426594840 is a wasteful number, since it uses less digits than its factorization.

426594840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26769 (or 26765 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The square root of 426594840 is about 20654.1724598203. The cubic root of 426594840 is about 752.7865760583.

The spelling of 426594840 in words is "four hundred twenty-six million, five hundred ninety-four thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 19 20 21 24 28 30 35 38 40 42 56 57 60 70 76 84 95 105 114 120 133 140 152 168 190 210 228 266 280 285 380 399 420 456 532 570 665 760 798 840 1064 1140 1330 1596 1995 2280 2660 3192 3990 5320 7980 15960 26729 53458 80187 106916 133645 160374 187103 213832 267290 320748 374206 400935 507851 534580 561309 641496 748412 801870 935515 1015702 1069160 1122618 1496824 1523553 1603740 1871030 2031404 2245236 2539255 2806545 3047106 3207480 3554957 3742060 4062808 4490472 5078510 5613090 6094212 7109914 7484120 7617765 10157020 10664871 11226180 12188424 14219828 15235530 17774785 20314040 21329742 22452360 28439656 30471060 35549570 42659484 53324355 60942120 71099140 85318968 106648710 142198280 213297420 426594840