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42538777 = 1721961127
BaseRepresentation
bin1010001001000…
…1011100011001
32222001012020021
42202101130121
541342220102
64115430441
71024400521
oct242213431
988035207
1042538777
1122015016
12122b5421
138a75298
145914681
153b04137
hex2891719

42538777 has 24 divisors (see below), whose sum is σ = 48727040. Its totient is φ = 37013760.

The previous prime is 42538759. The next prime is 42538817. The reversal of 42538777 is 77783524.

It is a de Polignac number, because none of the positive numbers 2k-42538777 is a prime.

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

Its product of digits (329280) is a multiple of the sum of its prime divisors (224).

It is not an unprimeable number, because it can be changed into a prime (42538747) 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 23 ways as a sum of consecutive naturals, for example, 334888 + ... + 335014.

Almost surely, 242538777 is an apocalyptic number.

It is an amenable number.

42538777 is a deficient number, since it is larger than the sum of its proper divisors (6188263).

42538777 is a wasteful number, since it uses less digits than its factorization.

42538777 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 224 counting only the distinct ones).

The product of its digits is 329280, while the sum is 43.

The square root of 42538777 is about 6522.1757872661. The cubic root of 42538777 is about 349.0827054998.

The spelling of 42538777 in words is "forty-two million, five hundred thirty-eight thousand, seven hundred seventy-seven".

Divisors: 1 17 19 61 127 289 323 1037 1159 2159 2413 5491 7747 17629 19703 36703 41021 131699 147193 334951 697357 2238883 2502281 42538777