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42787629 = 331918297
BaseRepresentation
bin1010001100111…
…0001100101101
32222111211121000
42203032030231
541423201004
64125030513
71026455163
oct243161455
988454530
1042787629
1122174a85
12123b5439
138b31631
14597b233
153b52c39
hex28ce32d

42787629 has 16 divisors (see below), whose sum is σ = 63728640. Its totient is φ = 28372320.

The previous prime is 42787627. The next prime is 42787643. The reversal of 42787629 is 92678724.

42787629 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 42787629 - 21 = 42787627 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42787621) 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, 1009 + ... + 9305.

It is an arithmetic number, because the mean of its divisors is an integer number (3983040).

Almost surely, 242787629 is an apocalyptic number.

It is an amenable number.

42787629 is a deficient number, since it is larger than the sum of its proper divisors (20941011).

42787629 is a wasteful number, since it uses less digits than its factorization.

42787629 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8497 (or 8491 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 42787629 is about 6541.2253439245. The cubic root of 42787629 is about 349.7620941069.

The spelling of 42787629 in words is "forty-two million, seven hundred eighty-seven thousand, six hundred twenty-nine".

Divisors: 1 3 9 27 191 573 1719 5157 8297 24891 74673 224019 1584727 4754181 14262543 42787629