Search a number
-
+
3082872 = 2331341241
BaseRepresentation
bin1011110000101001111000
312210121220110
423300221320
51242122442
6150024320
735126652
oct13605170
95717813
103082872
111816231
1210480a0
1383c2b0
145a36d2
1540d69c
hex2f0a78

3082872 has 64 divisors (see below), whose sum is σ = 8537760. Its totient is φ = 921600.

The previous prime is 3082843. The next prime is 3082873. The reversal of 3082872 is 2782803.

3082872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3082873) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12672 + ... + 12912.

Almost surely, 23082872 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 3082872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4268880).

3082872 is an abundant number, since it is smaller than the sum of its proper divisors (5454888).

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

3082872 is a wasteful number, since it uses less digits than its factorization.

3082872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 300 counting only the distinct ones).

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

The square root of 3082872 is about 1755.8109237614. The cubic root of 3082872 is about 145.5409362738.

The spelling of 3082872 in words is "three million, eighty-two thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 41 52 78 82 104 123 156 164 241 246 312 328 482 492 533 723 964 984 1066 1446 1599 1928 2132 2892 3133 3198 4264 5784 6266 6396 9399 9881 12532 12792 18798 19762 25064 29643 37596 39524 59286 75192 79048 118572 128453 237144 256906 385359 513812 770718 1027624 1541436 3082872