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3978284912 = 247213737039
BaseRepresentation
bin1110110100011111…
…1100111101110000
3101021020211210221122
43231013330331300
531121420104122
61454432241412
7200404602200
oct35507747560
911236753848
103978284912
111761702378
129303a0268
134b528a754
1429a500400
151843d6142
hexed1fcf70

3978284912 has 60 divisors (see below), whose sum is σ = 9032055840. Its totient is φ = 1692488448.

The previous prime is 3978284911. The next prime is 3978284927. The reversal of 3978284912 is 2194828793.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3978284911) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 88889 + ... + 125927.

It is an arithmetic number, because the mean of its divisors is an integer number (150534264).

Almost surely, 23978284912 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 3978284912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4516027920).

3978284912 is an abundant number, since it is smaller than the sum of its proper divisors (5053770928).

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

3978284912 is a wasteful number, since it uses less digits than its factorization.

3978284912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37198 (or 37185 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 53.

The square root of 3978284912 is about 63073.6467314202. The cubic root of 3978284912 is about 1584.5232919732.

The spelling of 3978284912 in words is "three billion, nine hundred seventy-eight million, two hundred eighty-four thousand, nine hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 137 196 274 392 548 784 959 1096 1918 2192 3836 6713 7672 13426 15344 26852 37039 53704 74078 107408 148156 259273 296312 518546 592624 1037092 1814911 2074184 3629822 4148368 5074343 7259644 10148686 14519288 20297372 29038576 35520401 40594744 71040802 81189488 142081604 248642807 284163208 497285614 568326416 994571228 1989142456 3978284912