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2478742 = 271011753
BaseRepresentation
bin1001011101001010010110
311122221012021
421131022112
51113304432
6125043354
730032440
oct11351226
94587167
102478742
111443352
129b655a
1368a316
14487490
1533e697
hex25d296

2478742 has 16 divisors (see below), whose sum is σ = 4293792. Its totient is φ = 1051200.

The previous prime is 2478731. The next prime is 2478743.

2478742 is nontrivially palindromic in base 10.

2478742 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×24787422 = 12288323805128, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2478698 and 2478707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2478743) 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 7 ways as a sum of consecutive naturals, for example, 538 + ... + 2290.

It is an arithmetic number, because the mean of its divisors is an integer number (268362).

22478742 is an apocalyptic number.

2478742 is a deficient number, since it is larger than the sum of its proper divisors (1815050).

2478742 is a wasteful number, since it uses less digits than its factorization.

2478742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1863.

The product of its digits is 25088, while the sum is 34.

The square root of 2478742 is about 1574.4021087384. The cubic root of 2478742 is about 135.3350980273.

The spelling of 2478742 in words is "two million, four hundred seventy-eight thousand, seven hundred forty-two".

Divisors: 1 2 7 14 101 202 707 1414 1753 3506 12271 24542 177053 354106 1239371 2478742