Search a number
-
+
3831004872 = 2332131406171
BaseRepresentation
bin1110010001011000…
…0111111011001000
3100212222201012201100
43210112013323020
530321214123442
61432051421400
7163636001262
oct34426077310
910788635640
103831004872
111696558732
128aabb4860
134909018b6
14284b22b32
151764e284c
hexe4587ec8

3831004872 has 48 divisors (see below), whose sum is σ = 10454867280. Its totient is φ = 1267250400.

The previous prime is 3831004871. The next prime is 3831004909. The reversal of 3831004872 is 2784001383.

3831004872 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 (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3831004871) 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, 193654 + ... + 212517.

It is an arithmetic number, because the mean of its divisors is an integer number (217809735).

Almost surely, 23831004872 is an apocalyptic number.

It is an amenable number.

3831004872 is an abundant number, since it is smaller than the sum of its proper divisors (6623862408).

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

3831004872 is a wasteful number, since it uses less digits than its factorization.

3831004872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406314 (or 406307 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 3831004872 is about 61895.1118586920. Note that the first 3 decimals coincide. The cubic root of 3831004872 is about 1564.7233666066.

The spelling of 3831004872 in words is "three billion, eight hundred thirty-one million, four thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 131 262 393 524 786 1048 1179 1572 2358 3144 4716 9432 406171 812342 1218513 1624684 2437026 3249368 3655539 4874052 7311078 9748104 14622156 29244312 53208401 106416802 159625203 212833604 319250406 425667208 478875609 638500812 957751218 1277001624 1915502436 3831004872