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2831928 = 2331117631
BaseRepresentation
bin1010110011011000111000
312022212200020
422303120320
51211110203
6140410440
733033231
oct12633070
95285606
102831928
111664740
12b46a20
13781cc8
1453a088
153ae153
hex2b3638

2831928 has 64 divisors (see below), whose sum is σ = 8190720. Its totient is φ = 806400.

The previous prime is 2831909. The next prime is 2831947. The reversal of 2831928 is 8291382.

2831928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2831909) and next prime (2831947).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

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, 4173 + ... + 4803.

It is an arithmetic number, because the mean of its divisors is an integer number (127980).

22831928 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 2831928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4095360).

2831928 is an abundant number, since it is smaller than the sum of its proper divisors (5358792).

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

2831928 is a wasteful number, since it uses less digits than its factorization.

2831928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668 (or 664 counting only the distinct ones).

The product of its digits is 6912, while the sum is 33.

The square root of 2831928 is about 1682.8333250801. The cubic root of 2831928 is about 141.4796801014.

It can be divided in two parts, 283 and 1928, that added together give a triangular number (2211 = T66).

The spelling of 2831928 in words is "two million, eight hundred thirty-one thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 17 22 24 33 34 44 51 66 68 88 102 132 136 187 204 264 374 408 561 631 748 1122 1262 1496 1893 2244 2524 3786 4488 5048 6941 7572 10727 13882 15144 20823 21454 27764 32181 41646 42908 55528 64362 83292 85816 117997 128724 166584 235994 257448 353991 471988 707982 943976 1415964 2831928