Search a number
-
+
3823932816 = 2432112414099
BaseRepresentation
bin1110001111101100…
…1001010110010000
3100212111101220200100
43203323021112100
530312411322231
61431240052400
7163521615114
oct34373112620
910774356610
103823932816
111692568360
128a8764100
1348c2c6952
14283c01744
15175a971e6
hexe3ec9590

3823932816 has 60 divisors (see below), whose sum is σ = 11674587600. Its totient is φ = 1158767040.

The previous prime is 3823932809. The next prime is 3823932851. The reversal of 3823932816 is 6182393283.

3823932816 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1205466 + ... + 1208633.

It is an arithmetic number, because the mean of its divisors is an integer number (194576460).

Almost surely, 23823932816 is an apocalyptic number.

3823932816 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3823932816 is an abundant number, since it is smaller than the sum of its proper divisors (7850654784).

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

3823932816 is a wasteful number, since it uses less digits than its factorization.

3823932816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2414124 (or 2414115 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 3823932816 is about 61837.9561111135. The cubic root of 3823932816 is about 1563.7599442307.

It can be divided in two parts, 3823 and 932816, that added together give a palindrome (936639).

The spelling of 3823932816 in words is "three billion, eight hundred twenty-three million, nine hundred thirty-two thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 396 528 792 1584 2414099 4828198 7242297 9656396 14484594 19312792 21726891 26555089 28969188 38625584 43453782 53110178 57938376 79665267 86907564 106220356 115876752 159330534 173815128 212440712 238995801 318661068 347630256 424881424 477991602 637322136 955983204 1274644272 1911966408 3823932816