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42878153 = 293789449
BaseRepresentation
bin1010001110010…
…0010011001001
32222200102202202
42203210103021
541434100103
64131005545
71030313123
oct243442311
988612682
1042878153
1122226a9a
12124398b5
138b638b6
1459a2213
153b6e988
hex28e44c9

42878153 has 16 divisors (see below), whose sum is σ = 46170000. Its totient is φ = 39739392.

The previous prime is 42878149. The next prime is 42878159. The reversal of 42878153 is 35187824.

It can be written as a sum of positive squares in 8 ways, for example, as 719104 + 42159049 = 848^2 + 6493^2 .

It is a cyclic number.

It is not a de Polignac number, because 42878153 - 22 = 42878149 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (42878159) 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 15 ways as a sum of consecutive naturals, for example, 95273 + ... + 95721.

It is an arithmetic number, because the mean of its divisors is an integer number (2885625).

Almost surely, 242878153 is an apocalyptic number.

It is an amenable number.

42878153 is a deficient number, since it is larger than the sum of its proper divisors (3291847).

42878153 is a wasteful number, since it uses less digits than its factorization.

42878153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 604.

The product of its digits is 53760, while the sum is 38.

The square root of 42878153 is about 6548.1411866269. The cubic root of 42878153 is about 350.0085793815.

The spelling of 42878153 in words is "forty-two million, eight hundred seventy-eight thousand, one hundred fifty-three".

Divisors: 1 29 37 89 449 1073 2581 3293 13021 16613 39961 95497 481777 1158869 1478557 42878153