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2793042 = 2357821
BaseRepresentation
bin1010101001111001010010
312020220100000
422221321102
51203334132
6135510430
732511660
oct12517122
95226300
102793042
1116384aa
12b28416
1376a3b5
14529c30
153a287c
hex2a9e52

2793042 has 48 divisors (see below), whose sum is σ = 7180992. Its totient is φ = 797040.

The previous prime is 2793041. The next prime is 2793067. The reversal of 2793042 is 2403972.

2793042 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×27930422 = 15602167227528, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2792997 and 2793015.

It is not an unprimeable number, because it can be changed into a prime (2793041) 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 23 ways as a sum of consecutive naturals, for example, 2992 + ... + 3812.

It is an arithmetic number, because the mean of its divisors is an integer number (149604).

22793042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2793042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3590496).

2793042 is an abundant number, since it is smaller than the sum of its proper divisors (4387950).

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

2793042 is an equidigital number, since it uses as much as digits as its factorization.

2793042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 845 (or 833 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 2793042 is about 1671.2396596539. The cubic root of 2793042 is about 140.8291275504.

It can be divided in two parts, 27930 and 42, that added together give a palindrome (27972).

The spelling of 2793042 in words is "two million, seven hundred ninety-three thousand, forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 162 189 243 378 486 567 821 1134 1642 1701 2463 3402 4926 5747 7389 11494 14778 17241 22167 34482 44334 51723 66501 103446 133002 155169 199503 310338 399006 465507 931014 1396521 2793042