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39268096 = 287171289
BaseRepresentation
bin1001010111001…
…0111100000000
32201220000200221
42111302330000
540023034341
63521352424
7654526150
oct225627400
981800627
1039268096
112019077a
1211198714
13819b67a
145302760
1536a9ed1
hex2572f00

39268096 has 72 divisors (see below), whose sum is σ = 94923360. Its totient is φ = 15826944.

The previous prime is 39268091. The next prime is 39268109. The reversal of 39268096 is 69086293.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39268091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29820 + ... + 31108.

It is an arithmetic number, because the mean of its divisors is an integer number (1318380).

Almost surely, 239268096 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 39268096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47461680).

39268096 is an abundant number, since it is smaller than the sum of its proper divisors (55655264).

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

39268096 is a wasteful number, since it uses less digits than its factorization.

39268096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1329 (or 1315 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 43.

The square root of 39268096 is about 6266.4260946731. The cubic root of 39268096 is about 339.8964390477.

The spelling of 39268096 in words is "thirty-nine million, two hundred sixty-eight thousand, ninety-six".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 64 68 112 119 128 136 224 238 256 272 448 476 544 896 952 1088 1289 1792 1904 2176 2578 3808 4352 5156 7616 9023 10312 15232 18046 20624 21913 30464 36092 41248 43826 72184 82496 87652 144368 153391 164992 175304 288736 306782 329984 350608 577472 613564 701216 1154944 1227128 1402432 2309888 2454256 2804864 4908512 5609728 9817024 19634048 39268096