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42577431 = 3131091729
BaseRepresentation
bin1010001001101…
…0111000010111
32222010011020220
42202122320113
541344434211
64120325423
71024621311
oct242327027
988104226
1042577431
1122041066
1212313873
138a89a60
1459247b1
153b10806
hex289ae17

42577431 has 8 divisors (see below), whose sum is σ = 61136880. Its totient is φ = 26201472.

The previous prime is 42577429. The next prime is 42577433. The reversal of 42577431 is 13477524.

42577431 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (42577429) and next prime (42577433).

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 42577431 - 21 = 42577429 is a prime.

It is a super-2 number, since 2×425774312 = 3625675261119522, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 42577392 and 42577401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42577433) 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 7 ways as a sum of consecutive naturals, for example, 545826 + ... + 545903.

It is an arithmetic number, because the mean of its divisors is an integer number (7642110).

Almost surely, 242577431 is an apocalyptic number.

42577431 is a deficient number, since it is larger than the sum of its proper divisors (18559449).

42577431 is a wasteful number, since it uses less digits than its factorization.

42577431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1091745.

The product of its digits is 23520, while the sum is 33.

The square root of 42577431 is about 6525.1383893370. The cubic root of 42577431 is about 349.1884079424.

The spelling of 42577431 in words is "forty-two million, five hundred seventy-seven thousand, four hundred thirty-one".

Divisors: 1 3 13 39 1091729 3275187 14192477 42577431