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2742831 = 3271317197
BaseRepresentation
bin1010011101101000101111
312011100110100
422131220233
51200232311
6134442143
732212410
oct12355057
95140410
102742831
111603803
12b03353
137505a0
14515807
15392a56
hex29da2f

2742831 has 48 divisors (see below), whose sum is σ = 5189184. Its totient is φ = 1354752.

The previous prime is 2742811. The next prime is 2742853. The reversal of 2742831 is 1382472.

It is not a de Polignac number, because 2742831 - 25 = 2742799 is a prime.

It is a super-2 number, since 2×27428312 = 15046243789122, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2742795 and 2742804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2742811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13825 + ... + 14021.

It is an arithmetic number, because the mean of its divisors is an integer number (108108).

22742831 is an apocalyptic number.

2742831 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2742831 is a deficient number, since it is larger than the sum of its proper divisors (2446353).

2742831 is a wasteful number, since it uses less digits than its factorization.

2742831 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 237 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 2742831 is about 1656.1494497780. The cubic root of 2742831 is about 139.9801162237.

The spelling of 2742831 in words is "two million, seven hundred forty-two thousand, eight hundred thirty-one".

Divisors: 1 3 7 9 13 17 21 39 51 63 91 117 119 153 197 221 273 357 591 663 819 1071 1379 1547 1773 1989 2561 3349 4137 4641 7683 10047 12411 13923 17927 23049 23443 30141 43537 53781 70329 130611 161343 210987 304759 391833 914277 2742831