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42736131 = 3242111279
BaseRepresentation
bin1010001100000…
…1101000000011
32222102012221200
42203001220003
541420024011
64123552243
71026152064
oct243015003
988365850
1042736131
112213a319
121238b683
138b14069
14596656b
153b42856
hex28c1a03

42736131 has 12 divisors (see below), whose sum is σ = 61882080. Its totient is φ = 28420560.

The previous prime is 42736129. The next prime is 42736157. The reversal of 42736131 is 13163724.

42736131 is a `hidden beast` number, since 42 + 7 + 3 + 613 + 1 = 666.

It is not a de Polignac number, because 42736131 - 21 = 42736129 is a prime.

It is a super-2 number, since 2×427361312 = 3652753785698322, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 42736095 and 42736104.

It is not an unprimeable number, because it can be changed into a prime (42736531) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1851 + ... + 9428.

It is an arithmetic number, because the mean of its divisors is an integer number (5156840).

Almost surely, 242736131 is an apocalyptic number.

42736131 is a deficient number, since it is larger than the sum of its proper divisors (19145949).

42736131 is a wasteful number, since it uses less digits than its factorization.

42736131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11706 (or 11703 counting only the distinct ones).

The product of its digits is 3024, while the sum is 27.

The square root of 42736131 is about 6537.2877403400. The cubic root of 42736131 is about 349.6217164647.

Adding to 42736131 its reverse (13163724), we get a palindrome (55899855).

It can be divided in two parts, 4273 and 6131, that added together give a square (10404 = 1022).

The spelling of 42736131 in words is "forty-two million, seven hundred thirty-six thousand, one hundred thirty-one".

Divisors: 1 3 9 421 1263 3789 11279 33837 101511 4748459 14245377 42736131