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42460769 = 1371179257
BaseRepresentation
bin1010000111111…
…0011001100001
32221220020020002
42201332121201
541332221034
64114025345
71023624221
oct241763141
987806202
1042460769
1121a7144a
1212278255
138a48920
1458d4081
153adae7e
hex287e661

42460769 has 16 divisors (see below), whose sum is σ = 46811520. Its totient is φ = 38277120.

The previous prime is 42460757. The next prime is 42460771. The reversal of 42460769 is 96706424.

42460769 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 42460769 - 24 = 42460753 is a prime.

It is a super-2 number, since 2×424607692 = 3605833808142722, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (42460709) 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, 165089 + ... + 165345.

It is an arithmetic number, because the mean of its divisors is an integer number (2925720).

Almost surely, 242460769 is an apocalyptic number.

It is an amenable number.

42460769 is a deficient number, since it is larger than the sum of its proper divisors (4350751).

42460769 is a wasteful number, since it uses less digits than its factorization.

42460769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520.

The product of its (nonzero) digits is 72576, while the sum is 38.

The square root of 42460769 is about 6516.1928301732. The cubic root of 42460769 is about 348.8691912412.

The spelling of 42460769 in words is "forty-two million, four hundred sixty thousand, seven hundred sixty-nine".

Divisors: 1 13 71 179 257 923 2327 3341 12709 18247 46003 165217 237211 598039 3266213 42460769