Search a number
-
+
382000872 = 233112131543
BaseRepresentation
bin10110110001001…
…101111011101000
3222121210122200110
4112301031323220
51240243011442
6101523334320
712315645111
oct2661157350
9877718613
10382000872
111866a1a00
12a7b213a0
13611abb26
1438a3b208
152380a69c
hex16c4dee8

382000872 has 48 divisors (see below), whose sum is σ = 1049721120. Its totient is φ = 115756960.

The previous prime is 382000831. The next prime is 382000877. The reversal of 382000872 is 278000283.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (382000877) 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, 62868 + ... + 68675.

It is an arithmetic number, because the mean of its divisors is an integer number (21869190).

Almost surely, 2382000872 is an apocalyptic number.

It is an amenable number.

382000872 is an abundant number, since it is smaller than the sum of its proper divisors (667720248).

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

382000872 is a wasteful number, since it uses less digits than its factorization.

382000872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131574 (or 131559 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 382000872 is about 19544.8425933800. The cubic root of 382000872 is about 725.5847027931.

The spelling of 382000872 in words is "three hundred eighty-two million, eight hundred seventy-two", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 121 132 242 264 363 484 726 968 1452 2904 131543 263086 394629 526172 789258 1052344 1446973 1578516 2893946 3157032 4340919 5787892 8681838 11575784 15916703 17363676 31833406 34727352 47750109 63666812 95500218 127333624 191000436 382000872