Search a number
-
+
3829240856 = 237837511097
BaseRepresentation
bin1110010000111101…
…1001010000011000
3100212212101120221102
43210033121100120
530320241201411
61431545530532
7163615003340
oct34417312030
910785346842
103829240856
111695563371
128aa4a3a48
134904349bc
142847c3d20
15176294d3b
hexe43d9418

3829240856 has 64 divisors (see below), whose sum is σ = 8323015680. Its totient is φ = 1617696000.

The previous prime is 3829240843. The next prime is 3829240897. The reversal of 3829240856 is 6580429283.

It is a super-2 number, since 2×38292408562 = 29326171066519225472, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3829240856.

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, 3490100 + ... + 3491196.

It is an arithmetic number, because the mean of its divisors is an integer number (130047120).

Almost surely, 23829240856 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 3829240856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4161507840).

3829240856 is an abundant number, since it is smaller than the sum of its proper divisors (4493774824).

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

3829240856 is a wasteful number, since it uses less digits than its factorization.

3829240856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1944 (or 1940 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 47.

The square root of 3829240856 is about 61880.8601750170. The cubic root of 3829240856 is about 1564.4831667195.

The spelling of 3829240856 in words is "three billion, eight hundred twenty-nine million, two hundred forty thousand, eight hundred fifty-six".

Divisors: 1 2 4 7 8 14 28 56 83 166 332 581 664 751 1097 1162 1502 2194 2324 3004 4388 4648 5257 6008 7679 8776 10514 15358 21028 30716 42056 61432 62333 91051 124666 182102 249332 364204 436331 498664 637357 728408 823847 872662 1274714 1647694 1745324 2549428 3295388 3490648 5098856 5766929 6590776 11533858 23067716 46135432 68379301 136758602 273517204 478655107 547034408 957310214 1914620428 3829240856