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2831296 = 26134183
BaseRepresentation
bin1010110011001111000000
312022211210211
422303033000
51211100141
6140403504
733031336
oct12631700
95284724
102831296
111664216
12b46594
13781930
14539b56
153add81
hex2b33c0

2831296 has 56 divisors (see below), whose sum is σ = 6272784. Its totient is φ = 1259520.

The previous prime is 2831293. The next prime is 2831317. The reversal of 2831296 is 6921382.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2831293) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34071 + ... + 34153.

It is an arithmetic number, because the mean of its divisors is an integer number (112014).

22831296 is an apocalyptic number.

2831296 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2831296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3136392).

2831296 is an abundant number, since it is smaller than the sum of its proper divisors (3441488).

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

2831296 is a wasteful number, since it uses less digits than its factorization.

2831296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 139 counting only the distinct ones).

The product of its digits is 5184, while the sum is 31.

The square root of 2831296 is about 1682.6455360533. The cubic root of 2831296 is about 141.4691546679.

The spelling of 2831296 in words is "two million, eight hundred thirty-one thousand, two hundred ninety-six".

Divisors: 1 2 4 8 13 16 26 32 41 52 64 82 83 104 164 166 208 328 332 416 533 656 664 832 1066 1079 1312 1328 2132 2158 2624 2656 3403 4264 4316 5312 6806 8528 8632 13612 17056 17264 27224 34112 34528 44239 54448 69056 88478 108896 176956 217792 353912 707824 1415648 2831296