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438054030 = 232519325219
BaseRepresentation
bin11010000111000…
…010110010001110
31010112021110011100
4122013002302032
51344120212110
6111245003530
713566253311
oct3207026216
91115243140
10438054030
112052a7527
121028535a6
136c9a648b
144226c978
15286cdbc0
hex1a1c2c8e

438054030 has 48 divisors (see below), whose sum is σ = 1144887120. Its totient is φ = 116204544.

The previous prime is 438054017. The next prime is 438054031. The reversal of 438054030 is 30450834.

It is a happy number.

438054030 is a `hidden beast` number, since 43 + 80 + 540 + 3 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 438053985 and 438054003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (438054031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4761 + ... + 29979.

It is an arithmetic number, because the mean of its divisors is an integer number (23851815).

Almost surely, 2438054030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 438054030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572443560).

438054030 is an abundant number, since it is smaller than the sum of its proper divisors (706833090).

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

438054030 is a wasteful number, since it uses less digits than its factorization.

438054030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25425 (or 25422 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 438054030 is about 20929.7403232816. The cubic root of 438054030 is about 759.4675575846.

The spelling of 438054030 in words is "four hundred thirty-eight million, fifty-four thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 193 386 579 965 1158 1737 1930 2895 3474 5790 8685 17370 25219 50438 75657 126095 151314 226971 252190 378285 453942 756570 1134855 2269710 4867267 9734534 14601801 24336335 29203602 43805403 48672670 73009005 87610806 146018010 219027015 438054030