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2742282 = 233431181
BaseRepresentation
bin1010011101100000001010
312011022201000
422131200022
51200223112
6134435430
732210664
oct12354012
95138630
102742282
111603354
12b02b76
1375026a
14515534
153927dc
hex29d80a

2742282 has 32 divisors (see below), whose sum is σ = 6240960. Its totient is φ = 892080.

The previous prime is 2742277. The next prime is 2742283. The reversal of 2742282 is 2822472.

It is a super-2 number, since 2×27422822 = 15040221135048, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (2742283) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1732 + ... + 2912.

It is an arithmetic number, because the mean of its divisors is an integer number (195030).

22742282 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2742282, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3120480).

2742282 is an abundant number, since it is smaller than the sum of its proper divisors (3498678).

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

2742282 is a wasteful number, since it uses less digits than its factorization.

2742282 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1235 (or 1229 counting only the distinct ones).

The product of its digits is 3584, while the sum is 27.

The square root of 2742282 is about 1655.9836955719. The cubic root of 2742282 is about 139.9707762131.

It can be divided in two parts, 274 and 2282, that added together give a triangular number (2556 = T71).

The spelling of 2742282 in words is "two million, seven hundred forty-two thousand, two hundred eighty-two".

Divisors: 1 2 3 6 9 18 27 43 54 86 129 258 387 774 1161 1181 2322 2362 3543 7086 10629 21258 31887 50783 63774 101566 152349 304698 457047 914094 1371141 2742282