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2742635 = 57233407
BaseRepresentation
bin1010011101100101101011
312011100012002
422131211223
51200231020
6134441215
732212010
oct12354553
95140162
102742635
111603645
12b0320b
1375047c
14515707
15392975
hex29d96b

2742635 has 16 divisors (see below), whose sum is σ = 3926016. Its totient is φ = 1798368.

The previous prime is 2742629. The next prime is 2742637. The reversal of 2742635 is 5362472.

It is a cyclic number.

It is not a de Polignac number, because 2742635 - 212 = 2738539 is a prime.

It is a d-powerful number, because it can be written as 29 + 73 + 49 + 219 + 62 + 37 + 59 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2742598 and 2742607.

It is not an unprimeable number, because it can be changed into a prime (2742637) 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 15 ways as a sum of consecutive naturals, for example, 899 + ... + 2508.

It is an arithmetic number, because the mean of its divisors is an integer number (245376).

22742635 is an apocalyptic number.

2742635 is a deficient number, since it is larger than the sum of its proper divisors (1183381).

2742635 is a wasteful number, since it uses less digits than its factorization.

2742635 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3442.

The product of its digits is 10080, while the sum is 29.

The square root of 2742635 is about 1656.0902753171. The cubic root of 2742635 is about 139.9767818639.

The spelling of 2742635 in words is "two million, seven hundred forty-two thousand, six hundred thirty-five".

Divisors: 1 5 7 23 35 115 161 805 3407 17035 23849 78361 119245 391805 548527 2742635