Search a number
-
+
426090480 = 243516710631
BaseRepresentation
bin11001011001011…
…001111111110000
31002200202122020220
4121121121333300
51333034343410
6110140333040
713362465204
oct3131317760
91080678226
10426090480
111a95760a2
12ba844180
136a377c5a
1440836b04
1527619070
hex19659ff0

426090480 has 80 divisors (see below), whose sum is σ = 1328914944. Its totient is φ = 112933120.

The previous prime is 426090473. The next prime is 426090521. The reversal of 426090480 is 84090624.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34765 + ... + 45395.

Almost surely, 2426090480 is an apocalyptic number.

426090480 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 426090480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (664457472).

426090480 is an abundant number, since it is smaller than the sum of its proper divisors (902824464).

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

426090480 is a wasteful number, since it uses less digits than its factorization.

426090480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10814 (or 10808 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 426090480 is about 20641.9592093386. The cubic root of 426090480 is about 752.4897876857.

The spelling of 426090480 in words is "four hundred twenty-six million, ninety thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 167 240 334 501 668 835 1002 1336 1670 2004 2505 2672 3340 4008 5010 6680 8016 10020 10631 13360 20040 21262 31893 40080 42524 53155 63786 85048 106310 127572 159465 170096 212620 255144 318930 425240 510288 637860 850480 1275720 1775377 2551440 3550754 5326131 7101508 8876885 10652262 14203016 17753770 21304524 26630655 28406032 35507540 42609048 53261310 71015080 85218096 106522620 142030160 213045240 426090480