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2826990 = 2325101311
BaseRepresentation
bin1010110010001011101110
312022121220100
422302023232
51210430430
6140331530
733012645
oct12621356
95277810
102826990
111660a61
12b43ba6
1377c99a
1453835c
153ac960
hex2b22ee

2826990 has 48 divisors (see below), whose sum is σ = 7446816. Its totient is φ = 744000.

The previous prime is 2826979. The next prime is 2826997. The reversal of 2826990 is 996282.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2826997) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8935 + ... + 9245.

It is an arithmetic number, because the mean of its divisors is an integer number (155142).

22826990 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2826990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3723408).

2826990 is an abundant number, since it is smaller than the sum of its proper divisors (4619826).

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

2826990 is a wasteful number, since it uses less digits than its factorization.

2826990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 2826990 is about 1681.3655164776. The cubic root of 2826990 is about 141.3974001004.

The spelling of 2826990 in words is "two million, eight hundred twenty-six thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 101 202 303 311 505 606 622 909 933 1010 1515 1555 1818 1866 2799 3030 3110 4545 4665 5598 9090 9330 13995 27990 31411 62822 94233 157055 188466 282699 314110 471165 565398 942330 1413495 2826990