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3028872 = 2337112149
BaseRepresentation
bin1011100011011110001000
312200212211110
423203132020
51233410442
6144530320
734513350
oct13433610
95625743
103028872
111789700
1210209a0
13820842
1458bb60
153ec69c
hex2e3788

3028872 has 96 divisors (see below), whose sum is σ = 9576000. Its totient is φ = 781440.

The previous prime is 3028871. The next prime is 3028891. The reversal of 3028872 is 2788203.

3028872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (3028871) 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 23 ways as a sum of consecutive naturals, for example, 20254 + ... + 20402.

It is an arithmetic number, because the mean of its divisors is an integer number (99750).

Almost surely, 23028872 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 3028872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4788000).

3028872 is an abundant number, since it is smaller than the sum of its proper divisors (6547128).

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

3028872 is a wasteful number, since it uses less digits than its factorization.

3028872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 172 counting only the distinct ones).

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

The square root of 3028872 is about 1740.3654788578. The cubic root of 3028872 is about 144.6861543211.

The spelling of 3028872 in words is "three million, twenty-eight thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 121 132 149 154 168 231 242 264 298 308 363 447 462 484 596 616 726 847 894 924 968 1043 1192 1452 1639 1694 1788 1848 2086 2541 2904 3129 3278 3388 3576 4172 4917 5082 6258 6556 6776 8344 9834 10164 11473 12516 13112 18029 19668 20328 22946 25032 34419 36058 39336 45892 54087 68838 72116 91784 108174 126203 137676 144232 216348 252406 275352 378609 432696 504812 757218 1009624 1514436 3028872