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2813286 = 23731367
BaseRepresentation
bin1010101110110101100110
312021221002210
422232311212
51210011121
6140144250
732625000
oct12566546
95257083
102813286
111651733
12b38086
13776688
14533370
153a8876
hex2aed66

2813286 has 32 divisors (see below), whose sum is σ = 6566400. Its totient is φ = 803208.

The previous prime is 2813267. The next prime is 2813287. The reversal of 2813286 is 6823182.

It is an Ulam number.

It is a Curzon number.

It is a zygodrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2813287) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1375 + ... + 2741.

It is an arithmetic number, because the mean of its divisors is an integer number (205200).

22813286 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2813286, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3283200).

2813286 is an abundant number, since it is smaller than the sum of its proper divisors (3753114).

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

2813286 is a wasteful number, since it uses less digits than its factorization.

2813286 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1393 (or 1379 counting only the distinct ones).

The product of its digits is 4608, while the sum is 30.

The square root of 2813286 is about 1677.2853066786. The cubic root of 2813286 is about 141.1685525175.

The spelling of 2813286 in words is "two million, eight hundred thirteen thousand, two hundred eighty-six".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 294 343 686 1029 1367 2058 2734 4101 8202 9569 19138 28707 57414 66983 133966 200949 401898 468881 937762 1406643 2813286