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438223842 = 23273477967
BaseRepresentation
bin11010000111101…
…100001111100010
31010112121002002200
4122013230033202
51344141130332
6111252354030
713600561350
oct3207541742
91115532080
10438223842
11205403071
12102915916
136ca35864
14422b47d0
152871417c
hex1a1ec3e2

438223842 has 24 divisors (see below), whose sum is σ = 1085126016. Its totient is φ = 125206776.

The previous prime is 438223813. The next prime is 438223859. The reversal of 438223842 is 248322834.

It is a happy number.

438223842 is a `hidden beast` number, since 4 + 382 + 238 + 42 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 438223797 and 438223806.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1738858 + ... + 1739109.

It is an arithmetic number, because the mean of its divisors is an integer number (45213584).

Almost surely, 2438223842 is an apocalyptic number.

438223842 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

438223842 is an abundant number, since it is smaller than the sum of its proper divisors (646902174).

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

438223842 is a wasteful number, since it uses less digits than its factorization.

438223842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3477982 (or 3477979 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

The square root of 438223842 is about 20933.7966456159. The cubic root of 438223842 is about 759.5656809780.

It can be divided in two parts, 4382238 and 42, that added together give a triangular number (4382280 = T2960).

The spelling of 438223842 in words is "four hundred thirty-eight million, two hundred twenty-three thousand, eight hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 3477967 6955934 10433901 20867802 24345769 31301703 48691538 62603406 73037307 146074614 219111921 438223842