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1438458912 = 25351167251
BaseRepresentation
bin101010110111101…
…0010010000100000
310201020201021200000
41111233102100200
510421221141122
6354423100000
750434461522
oct12557222040
93636637600
101438458912
11678a77520
123418a1600
1319c025a27
14d9083a12
15864400ac
hex55bd2420

1438458912 has 288 divisors, whose sum is σ = 4715553024. Its totient is φ = 427680000.

The previous prime is 1438458871. The next prime is 1438458913. The reversal of 1438458912 is 2198548341.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (1438458913) 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 47 ways as a sum of consecutive naturals, for example, 5730787 + ... + 5731037.

It is an arithmetic number, because the mean of its divisors is an integer number (16373448).

Almost surely, 21438458912 is an apocalyptic number.

1438458912 is a gapful number since it is divisible by the number (12) 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 1438458912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2357776512).

1438458912 is an abundant number, since it is smaller than the sum of its proper divisors (3277094112).

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

1438458912 is a wasteful number, since it uses less digits than its factorization.

1438458912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 334 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 1438458912 is about 37927.0208690321. The cubic root of 1438458912 is about 1128.8402521625.

The spelling of 1438458912 in words is "one billion, four hundred thirty-eight million, four hundred fifty-eight thousand, nine hundred twelve".