Search a number
-
+
422416456 = 237211163601
BaseRepresentation
bin11001001011011…
…001000001001000
31002102211222102221
4121023121001020
51331114311311
6105525503424
713316323600
oct3113310110
91072758387
10422416456
111a7496810
12b9571b74
136968c887
144015bc00
1527140671
hex192d9048

422416456 has 96 divisors (see below), whose sum is σ = 1012949280. Its totient is φ = 163296000.

The previous prime is 422416451. The next prime is 422416483. The reversal of 422416456 is 654614224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (422416451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 702556 + ... + 703156.

It is an arithmetic number, because the mean of its divisors is an integer number (10551555).

Almost surely, 2422416456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 422416456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506474640).

422416456 is an abundant number, since it is smaller than the sum of its proper divisors (590532824).

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

422416456 is a wasteful number, since it uses less digits than its factorization.

422416456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 795 (or 784 counting only the distinct ones).

The product of its digits is 46080, while the sum is 34.

The square root of 422416456 is about 20552.7724650471. The cubic root of 422416456 is about 750.3207256420.

The spelling of 422416456 in words is "four hundred twenty-two million, four hundred sixteen thousand, four hundred fifty-six".

Divisors: 1 2 4 7 8 11 14 22 28 44 49 56 77 88 98 154 163 196 308 326 392 539 601 616 652 1078 1141 1202 1304 1793 2156 2282 2404 3586 4207 4312 4564 4808 6611 7172 7987 8414 9128 12551 13222 14344 15974 16828 25102 26444 29449 31948 33656 46277 50204 52888 58898 63896 87857 92554 97963 100408 117796 175714 185108 195926 235592 323939 351428 370216 391852 647878 685741 702856 783704 1077593 1295756 1371482 2155186 2591512 2742964 4310372 4800187 5485928 7543151 8620744 9600374 15086302 19200748 30172604 38401496 52802057 60345208 105604114 211208228 422416456