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39075696 = 2434112741
BaseRepresentation
bin1001010100001…
…1111101110000
32201112020210000
42111003331300
540000410241
63513310000
7653065212
oct225037560
981466700
1039075696
112006a170
1211105300
138131c1a
1452925b2
15366ceb6
hex2543f70

39075696 has 100 divisors (see below), whose sum is σ = 123422904. Its totient is φ = 11836800.

The previous prime is 39075679. The next prime is 39075703. The reversal of 39075696 is 69657093.

39075696 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 12886 + ... + 15626.

Almost surely, 239075696 is an apocalyptic number.

39075696 is a gapful number since it is divisible by the number (36) 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 39075696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61711452).

39075696 is an abundant number, since it is smaller than the sum of its proper divisors (84347208).

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

39075696 is a wasteful number, since it uses less digits than its factorization.

39075696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2772 (or 2757 counting only the distinct ones).

The product of its (nonzero) digits is 306180, while the sum is 45.

The square root of 39075696 is about 6251.0555908582. The cubic root of 39075696 is about 339.3404051913.

The spelling of 39075696 in words is "thirty-nine million, seventy-five thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 81 88 99 108 132 144 162 176 198 216 264 297 324 396 432 528 594 648 792 891 1188 1296 1584 1782 2376 2741 3564 4752 5482 7128 8223 10964 14256 16446 21928 24669 30151 32892 43856 49338 60302 65784 74007 90453 98676 120604 131568 148014 180906 197352 222021 241208 271359 296028 361812 394704 444042 482416 542718 592056 723624 814077 888084 1085436 1184112 1447248 1628154 1776168 2170872 2442231 3256308 3552336 4341744 4884462 6512616 9768924 13025232 19537848 39075696