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438912968 = 231315726881
BaseRepresentation
bin11010001010010…
…100011111001000
31010120220002101212
4122022110133020
51344330203333
6111315232252
713606461434
oct3212243710
91116802355
10438912968
1120583389a
12102ba8688
136cc17420
14424139c4
15287ed448
hex1a2947c8

438912968 has 32 divisors (see below), whose sum is σ = 891944760. Its totient is φ = 201277440.

The previous prime is 438912967. The next prime is 438912989. The reversal of 438912968 is 869219834.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 319622884 + 119290084 = 17878^2 + 10922^2 .

It is not an unprimeable number, because it can be changed into a prime (438912967) 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 7 ways as a sum of consecutive naturals, for example, 2888 + ... + 29768.

Almost surely, 2438912968 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 438912968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445972380).

438912968 is an abundant number, since it is smaller than the sum of its proper divisors (453031792).

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

438912968 is a wasteful number, since it uses less digits than its factorization.

438912968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27057 (or 27053 counting only the distinct ones).

The product of its digits is 746496, while the sum is 50.

The square root of 438912968 is about 20950.2498314459. The cubic root of 438912968 is about 759.9636224509.

The spelling of 438912968 in words is "four hundred thirty-eight million, nine hundred twelve thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 13 26 52 104 157 314 628 1256 2041 4082 8164 16328 26881 53762 107524 215048 349453 698906 1397812 2795624 4220317 8440634 16881268 33762536 54864121 109728242 219456484 438912968