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438939648 = 2123772
BaseRepresentation
bin11010001010011…
…011000000000000
31010120221110000000
4122022123000000
51344332032043
6111320000000
713606632300
oct3212330000
91116843000
10438939648
11205851944
12103000000
136cc26604
144241d600
15288062d3
hex1a29b000

438939648 has 312 divisors, whose sum is σ = 1531389360. Its totient is φ = 125411328.

The previous prime is 438939629. The next prime is 438939649. The reversal of 438939648 is 846939834.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

Its product of digits (4478976) is a multiple of the sum of its prime divisors (12).

It is a junction number, because it is equal to n+sod(n) for n = 438939594 and 438939603.

It is not an unprimeable number, because it can be changed into a prime (438939649) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62705661 + ... + 62705667.

Almost surely, 2438939648 is an apocalyptic number.

438939648 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 438939648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (765694680).

438939648 is an abundant number, since it is smaller than the sum of its proper divisors (1092449712).

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

438939648 is an frugal number, since it uses more digits than its factorization.

438939648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59 (or 12 counting only the distinct ones).

The product of its digits is 4478976, while the sum is 54.

The square root of 438939648 is about 20950.8865683531. The cubic root of 438939648 is about 759.9790206582.

The spelling of 438939648 in words is "four hundred thirty-eight million, nine hundred thirty-nine thousand, six hundred forty-eight".