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3948038432 = 25139490477
BaseRepresentation
bin1110101101010010…
…0100100100100000
3101012010221010120122
43223110210210200
531041144212212
61451432055412
7166556526062
oct35324444440
911163833518
103948038432
111746623788
12922234568
134abc2a520
142964a9732
1518190e272
hexeb524920

3948038432 has 24 divisors (see below), whose sum is σ = 8370601596. Its totient is φ = 1822171392.

The previous prime is 3948038431. The next prime is 3948038447. The reversal of 3948038432 is 2348308493.

It can be written as a sum of positive squares in 2 ways, for example, as 3873319696 + 74718736 = 62236^2 + 8644^2 .

It is not an unprimeable number, because it can be changed into a prime (3948038431) 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 3 ways as a sum of consecutive naturals, for example, 4744823 + ... + 4745654.

Almost surely, 23948038432 is an apocalyptic number.

3948038432 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3948038432 is an abundant number, since it is smaller than the sum of its proper divisors (4422563164).

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

3948038432 is a wasteful number, since it uses less digits than its factorization.

3948038432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9490500 (or 9490492 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 44.

The square root of 3948038432 is about 62833.4181148853. The cubic root of 3948038432 is about 1580.4974174927.

The spelling of 3948038432 in words is "three billion, nine hundred forty-eight million, thirty-eight thousand, four hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 9490477 18980954 37961908 75923816 123376201 151847632 246752402 303695264 493504804 987009608 1974019216 3948038432