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3939315296 = 257195711621
BaseRepresentation
bin1110101011001101…
…0010111001100000
3101011112111221200112
43222303102321200
531031431042141
61450521110452
7166422425150
oct35263227140
911145457615
103939315296
111741705984
1291b328428
134aa194bc7
14295278760
15180c897eb
hexeacd2e60

3939315296 has 96 divisors (see below), whose sum is σ = 9352062720. Its totient is φ = 1595635200.

The previous prime is 3939315251. The next prime is 3939315299. The reversal of 3939315296 is 6925139393.

3939315296 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (50) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3939315299) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2429366 + ... + 2430986.

It is an arithmetic number, because the mean of its divisors is an integer number (97417320).

Almost surely, 23939315296 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 3939315296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4676031360).

3939315296 is an abundant number, since it is smaller than the sum of its proper divisors (5412747424).

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

3939315296 is a wasteful number, since it uses less digits than its factorization.

3939315296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2228 (or 2220 counting only the distinct ones).

The product of its digits is 1180980, while the sum is 50.

The square root of 3939315296 is about 62763.9649480496. The cubic root of 3939315296 is about 1579.3325301169.

The spelling of 3939315296 in words is "three billion, nine hundred thirty-nine million, three hundred fifteen thousand, two hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 76 112 133 152 224 266 304 532 571 608 1064 1142 1621 2128 2284 3242 3997 4256 4568 6484 7994 9136 10849 11347 12968 15988 18272 21698 22694 25936 30799 31976 43396 45388 51872 61598 63952 75943 86792 90776 123196 127904 151886 173584 181552 215593 246392 303772 347168 363104 431186 492784 607544 862372 925591 985568 1215088 1724744 1851182 2430176 3449488 3702364 6479137 6898976 7404728 12958274 14809456 17586229 25916548 29618912 35172458 51833096 70344916 103666192 123103603 140689832 207332384 246207206 281379664 492414412 562759328 984828824 1969657648 3939315296