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2742663 = 371131383
BaseRepresentation
bin1010011101100110000111
312011100020010
422131212013
51200231123
6134441303
732212050
oct12354607
95140203
102742663
111603670
12b03233
137504a1
14515727
15392993
hex29d987

2742663 has 32 divisors (see below), whose sum is σ = 4718592. Its totient is φ = 1375200.

The previous prime is 2742653. The next prime is 2742667. The reversal of 2742663 is 3662472.

2742663 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2742663 - 24 = 2742647 is a prime.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

2742663 is strictly pandigital in base 8.

It is a self number, because there is not a number n which added to its sum of digits gives 2742663.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2742667) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6970 + ... + 7352.

It is an arithmetic number, because the mean of its divisors is an integer number (147456).

22742663 is an apocalyptic number.

2742663 is a deficient number, since it is larger than the sum of its proper divisors (1975929).

2742663 is a wasteful number, since it uses less digits than its factorization.

2742663 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435.

The product of its digits is 12096, while the sum is 30.

The square root of 2742663 is about 1656.0987289410. The cubic root of 2742663 is about 139.9772582108.

The spelling of 2742663 in words is "two million, seven hundred forty-two thousand, six hundred sixty-three".

Divisors: 1 3 7 11 21 31 33 77 93 217 231 341 383 651 1023 1149 2387 2681 4213 7161 8043 11873 12639 29491 35619 83111 88473 130603 249333 391809 914221 2742663