Search a number
-
+
422442432 = 26331511619
BaseRepresentation
bin11001001011011…
…111010111000000
31002102220022002000
4121023133113000
51331121124212
6105530224000
713316462406
oct3113372700
91072808060
10422442432
111a7504285
12b9585000
136969b649
1440167476
15271481dc
hex192df5c0

422442432 has 112 divisors (see below), whose sum is σ = 1250899200. Its totient is φ = 139795200.

The previous prime is 422442407. The next prime is 422442443. The reversal of 422442432 is 234244224.

422442432 is a `hidden beast` number, since 4 + 224 + 4 + 2 + 432 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 422442396 and 422442405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 260119 + ... + 261737.

Almost surely, 2422442432 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 422442432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (625449600).

422442432 is an abundant number, since it is smaller than the sum of its proper divisors (828456768).

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

422442432 is a wasteful number, since it uses less digits than its factorization.

422442432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1791 (or 1775 counting only the distinct ones).

The product of its digits is 12288, while the sum is 27.

The square root of 422442432 is about 20553.4043895409. The cubic root of 422442432 is about 750.3361053551.

Adding to 422442432 its reverse (234244224), we get a palindrome (656686656).

It can be divided in two parts, 4224 and 42432, that added together give a 6-th power (46656 = 66).

The spelling of 422442432 in words is "four hundred twenty-two million, four hundred forty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 151 192 216 288 302 432 453 576 604 864 906 1208 1359 1619 1728 1812 2416 2718 3238 3624 4077 4832 4857 5436 6476 7248 8154 9664 9714 10872 12952 14496 14571 16308 19428 21744 25904 28992 29142 32616 38856 43488 43713 51808 58284 65232 77712 86976 87426 103616 116568 130464 155424 174852 233136 244469 260928 310848 349704 466272 488938 699408 733407 932544 977876 1398816 1466814 1955752 2200221 2797632 2933628 3911504 4400442 5867256 6600663 7823008 8800884 11734512 13201326 15646016 17601768 23469024 26402652 35203536 46938048 52805304 70407072 105610608 140814144 211221216 422442432