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2683788 = 2231979149
BaseRepresentation
bin1010001111001110001100
312001100110120
422033032030
51141340123
6133304540
731545312
oct12171614
95040416
102683788
111573408
12a95150
1372c753
144dc0b2
153802e3
hex28f38c

2683788 has 48 divisors (see below), whose sum is σ = 6720000. Its totient is φ = 831168.

The previous prime is 2683787. The next prime is 2683789. The reversal of 2683788 is 8873862.

2683788 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 (2683787) and next prime (2683789).

It is a d-powerful number, because it can be written as 22 + 66 + 84 + 312 + 73 + 84 + 87 .

Its product of digits (129024) is a multiple of the sum of its prime divisors (252).

It is not an unprimeable number, because it can be changed into a prime (2683781) 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 15 ways as a sum of consecutive naturals, for example, 17938 + ... + 18086.

It is an arithmetic number, because the mean of its divisors is an integer number (140000).

22683788 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 2683788, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3360000).

2683788 is an abundant number, since it is smaller than the sum of its proper divisors (4036212).

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

2683788 is a wasteful number, since it uses less digits than its factorization.

2683788 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 252 counting only the distinct ones).

The product of its digits is 129024, while the sum is 42.

The square root of 2683788 is about 1638.2270904853. The cubic root of 2683788 is about 138.9684037011.

The spelling of 2683788 in words is "two million, six hundred eighty-three thousand, seven hundred eighty-eight".

Divisors: 1 2 3 4 6 12 19 38 57 76 79 114 149 158 228 237 298 316 447 474 596 894 948 1501 1788 2831 3002 4503 5662 6004 8493 9006 11324 11771 16986 18012 23542 33972 35313 47084 70626 141252 223649 447298 670947 894596 1341894 2683788