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42413137 = 133788177
BaseRepresentation
bin1010000111001…
…0110001010001
32221210210212221
42201302301101
541324210022
64113021041
71023335314
oct241626121
987723787
1042413137
1121a39688
1212254781
138a30040
1458c097b
153acbcc7
hex2872c51

42413137 has 8 divisors (see below), whose sum is σ = 46910696. Its totient is φ = 38092032.

The previous prime is 42413131. The next prime is 42413141. The reversal of 42413137 is 73131424.

It can be written as a sum of positive squares in 4 ways, for example, as 9339136 + 33074001 = 3056^2 + 5751^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 42413137 - 27 = 42413009 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (42413131) 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, 43608 + ... + 44569.

It is an arithmetic number, because the mean of its divisors is an integer number (5863837).

Almost surely, 242413137 is an apocalyptic number.

It is an amenable number.

42413137 is a deficient number, since it is larger than the sum of its proper divisors (4497559).

42413137 is a wasteful number, since it uses less digits than its factorization.

42413137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88227.

The product of its digits is 2016, while the sum is 25.

The square root of 42413137 is about 6512.5369096843. The cubic root of 42413137 is about 348.7386899549.

The spelling of 42413137 in words is "forty-two million, four hundred thirteen thousand, one hundred thirty-seven".

Divisors: 1 13 37 481 88177 1146301 3262549 42413137