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2746422 = 232771307
BaseRepresentation
bin1010011110100000110110
312011112101100
422132200312
51200341142
6134510530
732226030
oct12364066
95145340
102746422
111606478
12b05446
13752103
14516c50
15393b4c
hex29e836

2746422 has 48 divisors (see below), whose sum is σ = 6918912. Its totient is φ = 771120.

The previous prime is 2746421. The next prime is 2746423. The reversal of 2746422 is 2246472.

It is a happy number.

2746422 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 (2746421) and next prime (2746423).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2746421) 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, 8793 + ... + 9099.

It is an arithmetic number, because the mean of its divisors is an integer number (144144).

22746422 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2746422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3459456).

2746422 is an abundant number, since it is smaller than the sum of its proper divisors (4172490).

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

2746422 is a wasteful number, since it uses less digits than its factorization.

2746422 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 390 counting only the distinct ones).

The product of its digits is 5376, while the sum is 27.

The square root of 2746422 is about 1657.2332364516. The cubic root of 2746422 is about 140.0411783632.

The spelling of 2746422 in words is "two million, seven hundred forty-six thousand, four hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 71 126 142 213 307 426 497 614 639 921 994 1278 1491 1842 2149 2763 2982 4298 4473 5526 6447 8946 12894 19341 21797 38682 43594 65391 130782 152579 196173 305158 392346 457737 915474 1373211 2746422