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4038497312 = 252937117617
BaseRepresentation
bin1111000010110110…
…1001010000100000
3101102110010220211112
43300231221100200
531232323403222
61504423002452
7202035442433
oct36055512040
911373126745
104038497312
111792698893
12948599428
134c48b02a5
142a44d581a
1518982bbe2
hexf0b69420

4038497312 has 48 divisors (see below), whose sum is σ = 8447324760. Its totient is φ = 1896910848.

The previous prime is 4038497311. The next prime is 4038497363. The reversal of 4038497312 is 2137948304.

It can be written as a sum of positive squares in 4 ways, for example, as 2972866576 + 1065630736 = 54524^2 + 32644^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 4038497312.

It is not an unprimeable number, because it can be changed into a prime (4038497311) 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, 24473 + ... + 93144.

Almost surely, 24038497312 is an apocalyptic number.

It is an amenable number.

4038497312 is an abundant number, since it is smaller than the sum of its proper divisors (4408827448).

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

4038497312 is a wasteful number, since it uses less digits than its factorization.

4038497312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117693 (or 117685 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 41.

The square root of 4038497312 is about 63549.1723942964. The cubic root of 4038497312 is about 1592.4773574194.

The spelling of 4038497312 in words is "four billion, thirty-eight million, four hundred ninety-seven thousand, three hundred twelve".

Divisors: 1 2 4 8 16 29 32 37 58 74 116 148 232 296 464 592 928 1073 1184 2146 4292 8584 17168 34336 117617 235234 470468 940936 1881872 3410893 3763744 4351829 6821786 8703658 13643572 17407316 27287144 34814632 54574288 69629264 109148576 126203041 139258528 252406082 504812164 1009624328 2019248656 4038497312