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42687513 = 3311143729
BaseRepresentation
bin1010001011010…
…1110000011001
32222022202021000
42202311300121
541412000023
64122535213
71025560251
oct242656031
988282230
1042687513
1122106840
1212367509
138ac7bab
145952961
153b33243
hex28b5c19

42687513 has 16 divisors (see below), whose sum is σ = 68990400. Its totient is φ = 25871040.

The previous prime is 42687511. The next prime is 42687521. The reversal of 42687513 is 31578624.

It is not a de Polignac number, because 42687513 - 21 = 42687511 is a prime.

It is a super-3 number, since 3×426875133 (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (42687511) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71568 + ... + 72161.

It is an arithmetic number, because the mean of its divisors is an integer number (4311900).

Almost surely, 242687513 is an apocalyptic number.

It is an amenable number.

42687513 is a deficient number, since it is larger than the sum of its proper divisors (26302887).

42687513 is a wasteful number, since it uses less digits than its factorization.

42687513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143749 (or 143743 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 42687513 is about 6533.5681675483. The cubic root of 42687513 is about 349.4890858461.

Subtracting from 42687513 its reverse (31578624), we obtain a square (11108889 = 33332).

It can be divided in two parts, 4268 and 7513, that added together give a triangular number (11781 = T153).

The spelling of 42687513 in words is "forty-two million, six hundred eighty-seven thousand, five hundred thirteen".

Divisors: 1 3 9 11 27 33 99 297 143729 431187 1293561 1581019 3880683 4743057 14229171 42687513