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438225424 = 247213193173
BaseRepresentation
bin11010000111101…
…100101000010000
31010112121011021021
4122013230220100
51344141203144
6111252405224
713600566100
oct3207545020
91115534237
10438225424
1120540427a
12102916814
136ca364b0
14422b5200
1528714884
hex1a1eca10

438225424 has 240 divisors, whose sum is σ = 1171591680. Its totient is φ = 156764160.

The previous prime is 438225421. The next prime is 438225433. The reversal of 438225424 is 424522834.

It is a self number, because there is not a number n which added to its sum of digits gives 438225424.

It is not an unprimeable number, because it can be changed into a prime (438225421) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6003052 + ... + 6003124.

It is an arithmetic number, because the mean of its divisors is an integer number (4881632).

Almost surely, 2438225424 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 438225424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585795840).

438225424 is an abundant number, since it is smaller than the sum of its proper divisors (733366256).

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

438225424 is a wasteful number, since it uses less digits than its factorization.

438225424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 145 counting only the distinct ones).

The product of its digits is 61440, while the sum is 34.

The square root of 438225424 is about 20933.8344313697. The cubic root of 438225424 is about 759.5665949945.

The spelling of 438225424 in words is "four hundred thirty-eight million, two hundred twenty-five thousand, four hundred twenty-four".