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2728968 = 2331110337
BaseRepresentation
bin1010011010010000001000
312010122102220
422122100020
51144311333
6134254040
732124114
oct12322010
95118386
102728968
1115a4350
12ab7320
13747198
14510744
1538d8b3
hex29a408

2728968 has 32 divisors (see below), whose sum is σ = 7443360. Its totient is φ = 826880.

The previous prime is 2728967. The next prime is 2728981. The reversal of 2728968 is 8698272.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2728967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4905 + ... + 5432.

It is an arithmetic number, because the mean of its divisors is an integer number (232605).

22728968 is an apocalyptic number.

It is an amenable number.

2728968 is an abundant number, since it is smaller than the sum of its proper divisors (4714392).

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

2728968 is a wasteful number, since it uses less digits than its factorization.

2728968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10357 (or 10353 counting only the distinct ones).

The product of its digits is 96768, while the sum is 42.

The square root of 2728968 is about 1651.9588372596. The cubic root of 2728968 is about 139.7438854941.

The spelling of 2728968 in words is "two million, seven hundred twenty-eight thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 10337 20674 31011 41348 62022 82696 113707 124044 227414 248088 341121 454828 682242 909656 1364484 2728968