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42130827 = 3337181233
BaseRepresentation
bin1010000010110…
…1110110001011
32221021110122000
42200231312023
541241141302
64103002043
71021051254
oct240556613
987243560
1042130827
1121866572
1212139323
1389616ab
145849b2b
153a7331c
hex282dd8b

42130827 has 32 divisors (see below), whose sum is σ = 64733760. Its totient is φ = 27060480.

The previous prime is 42130817. The next prime is 42130849. The reversal of 42130827 is 72803124.

42130827 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 42130827 - 210 = 42129803 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 42130827.

It is not an unprimeable number, because it can be changed into a prime (42130817) 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 31 ways as a sum of consecutive naturals, for example, 180703 + ... + 180935.

It is an arithmetic number, because the mean of its divisors is an integer number (2022930).

Almost surely, 242130827 is an apocalyptic number.

42130827 is a deficient number, since it is larger than the sum of its proper divisors (22602933).

42130827 is a wasteful number, since it uses less digits than its factorization.

42130827 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 42130827 is about 6490.8263726586. The cubic root of 42130827 is about 347.9632095470.

The spelling of 42130827 in words is "forty-two million, one hundred thirty thousand, eight hundred twenty-seven".

Divisors: 1 3 9 27 37 111 181 233 333 543 699 999 1629 2097 4887 6291 6697 8621 20091 25863 42173 60273 77589 126519 180819 232767 379557 1138671 1560401 4681203 14043609 42130827