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42777417 = 319239499
BaseRepresentation
bin1010001100101…
…1101101001001
32222111022120210
42203023231021
541422334132
64124511333
71026413334
oct243135511
988438523
1042777417
1122168341
12123ab549
138b29aa7
14597761b
153b4ebcc
hex28cbb49

42777417 has 12 divisors (see below), whose sum is σ = 60198000. Its totient is φ = 27016632.

The previous prime is 42777403. The next prime is 42777433. The reversal of 42777417 is 71477724.

42777417 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 42777417 - 26 = 42777353 is a prime.

It is a super-4 number, since 4×427774174 (a number of 32 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (42777467) 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 11 ways as a sum of consecutive naturals, for example, 18667 + ... + 20832.

It is an arithmetic number, because the mean of its divisors is an integer number (5016500).

Almost surely, 242777417 is an apocalyptic number.

It is an amenable number.

42777417 is a deficient number, since it is larger than the sum of its proper divisors (17420583).

42777417 is a wasteful number, since it uses less digits than its factorization.

42777417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39540 (or 39521 counting only the distinct ones).

The product of its digits is 76832, while the sum is 39.

The square root of 42777417 is about 6540.4447096509. Note that the first 3 decimals coincide. The cubic root of 42777417 is about 349.7342663229.

The spelling of 42777417 in words is "forty-two million, seven hundred seventy-seven thousand, four hundred seventeen".

Divisors: 1 3 19 57 361 1083 39499 118497 750481 2251443 14259139 42777417