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2826738 = 23417449
BaseRepresentation
bin1010110010000111110010
312022121120000
422302013302
51210423423
6140330430
733012135
oct12620762
95277500
102826738
111660852
12b43a16
1377c835
1453821c
153ac843
hex2b21f2

2826738 has 20 divisors (see below), whose sum is σ = 6334350. Its totient is φ = 942192.

The previous prime is 2826737. The next prime is 2826739. The reversal of 2826738 is 8376282.

It is a happy number.

2826738 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 (2826737) and next prime (2826739).

It can be written as a sum of positive squares in only one way, i.e., 1520289 + 1306449 = 1233^2 + 1143^2 .

It is a super-3 number, since 3×28267383 = 67760706626873337816, which contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (2826737) by changing a digit.

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 9 ways as a sum of consecutive naturals, for example, 8563 + ... + 8886.

22826738 is an apocalyptic number.

2826738 is an abundant number, since it is smaller than the sum of its proper divisors (3507612).

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

2826738 is a wasteful number, since it uses less digits than its factorization.

2826738 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17463 (or 17454 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 2826738 is about 1681.2905757185. The cubic root of 2826738 is about 141.3931985522.

The spelling of 2826738 in words is "two million, eight hundred twenty-six thousand, seven hundred thirty-eight".

Divisors: 1 2 3 6 9 18 27 54 81 162 17449 34898 52347 104694 157041 314082 471123 942246 1413369 2826738