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2857968 = 243289223
BaseRepresentation
bin1010111001101111110000
312101012101200
422321233300
51212423333
6141131200
733202161
oct12715760
95335350
102857968
111682263
12b59b00
13790b09
14545768
153b6c13
hex2b9bf0

2857968 has 60 divisors (see below), whose sum is σ = 8124480. Its totient is φ = 937728.

The previous prime is 2857951. The next prime is 2857973. The reversal of 2857968 is 8697582.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12705 + ... + 12927.

It is an arithmetic number, because the mean of its divisors is an integer number (135408).

22857968 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 2857968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4062240).

2857968 is an abundant number, since it is smaller than the sum of its proper divisors (5266512).

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

2857968 is a wasteful number, since it uses less digits than its factorization.

2857968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 317 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The square root of 2857968 is about 1690.5525723857. The cubic root of 2857968 is about 141.9119999626.

The spelling of 2857968 in words is "two million, eight hundred fifty-seven thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 89 144 178 223 267 356 446 534 669 712 801 892 1068 1338 1424 1602 1784 2007 2136 2676 3204 3568 4014 4272 5352 6408 8028 10704 12816 16056 19847 32112 39694 59541 79388 119082 158776 178623 238164 317552 357246 476328 714492 952656 1428984 2857968