Search a number
-
+
3826908384 = 253133738221
BaseRepresentation
bin1110010000011001…
…1111110011100000
3100212201000002101120
43210012133303200
530314142032014
61431423532240
7163556120205
oct34406376340
910781002346
103826908384
11169420aa02
128a975a080
1348cac9140
14284377cac
15175e83ba9
hexe419fce0

3826908384 has 96 divisors (see below), whose sum is σ = 10848698784. Its totient is φ = 1174210560.

The previous prime is 3826908377. The next prime is 3826908433. The reversal of 3826908384 is 4838096283.

3826908384 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 461394 + ... + 469614.

It is an arithmetic number, because the mean of its divisors is an integer number (113007279).

Almost surely, 23826908384 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 3826908384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5424349392).

3826908384 is an abundant number, since it is smaller than the sum of its proper divisors (7021790400).

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

3826908384 is a wasteful number, since it uses less digits than its factorization.

3826908384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8620 (or 8612 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 51.

The square root of 3826908384 is about 61862.0108305574. The cubic root of 3826908384 is about 1564.1654488840.

The spelling of 3826908384 in words is "three billion, eight hundred twenty-six million, nine hundred eight thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 373 416 624 746 1119 1248 1492 2238 2984 4476 4849 5968 8221 8952 9698 11936 14547 16442 17904 19396 24663 29094 32884 35808 38792 49326 58188 65768 77584 98652 106873 116376 131536 155168 197304 213746 232752 263072 320619 394608 427492 465504 641238 789216 854984 1282476 1709968 2564952 3066433 3419936 5129904 6132866 9199299 10259808 12265732 18398598 24531464 36797196 39863629 49062928 73594392 79727258 98125856 119590887 147188784 159454516 239181774 294377568 318909032 478363548 637818064 956727096 1275636128 1913454192 3826908384