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426575280 = 243515711321
BaseRepresentation
bin11001011011010…
…000010110110000
31002201200021021110
4121123100112300
51333200402110
6110154553320
713366554465
oct3133202660
91081607243
10426575280
111a987735a
12baa38840
136a4b7811
144092166c
15276b2a20
hex196d05b0

426575280 has 80 divisors (see below), whose sum is σ = 1330923744. Its totient is φ = 113018880.

The previous prime is 426575267. The next prime is 426575299. The reversal of 426575280 is 82575624.

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

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 15 ways as a sum of consecutive naturals, for example, 32020 + ... + 43340.

Almost surely, 2426575280 is an apocalyptic number.

426575280 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 426575280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (665461872).

426575280 is an abundant number, since it is smaller than the sum of its proper divisors (904348464).

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

426575280 is a wasteful number, since it uses less digits than its factorization.

426575280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11494 (or 11488 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 39.

The square root of 426575280 is about 20653.6989423202. The cubic root of 426575280 is about 752.7750704257.

The spelling of 426575280 in words is "four hundred twenty-six million, five hundred seventy-five thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 157 240 314 471 628 785 942 1256 1570 1884 2355 2512 3140 3768 4710 6280 7536 9420 11321 12560 18840 22642 33963 37680 45284 56605 67926 90568 113210 135852 169815 181136 226420 271704 339630 452840 543408 679260 905680 1358520 1777397 2717040 3554794 5332191 7109588 8886985 10664382 14219176 17773970 21328764 26660955 28438352 35547940 42657528 53321910 71095880 85315056 106643820 142191760 213287640 426575280