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42616431 = 32111333113
BaseRepresentation
bin1010001010010…
…0011001101111
32222012010202100
42202210121233
541402211211
64121230143
71025143104
oct242443157
988163670
1042616431
11220683a0
1212332353
138aa1730
145934aab
153b1c156
hex28a466f

42616431 has 24 divisors (see below), whose sum is σ = 72320976. Its totient is φ = 23840640.

The previous prime is 42616429. The next prime is 42616459. The reversal of 42616431 is 13461624.

42616431 is a `hidden beast` number, since 4 + 2 + 616 + 43 + 1 = 666.

42616431 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 42616431 - 21 = 42616429 is a prime.

It is a super-2 number, since 2×426164312 = 3632320382355522, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 42616395 and 42616404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42616421) 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 23 ways as a sum of consecutive naturals, for example, 15270 + ... + 17843.

It is an arithmetic number, because the mean of its divisors is an integer number (3013374).

Almost surely, 242616431 is an apocalyptic number.

42616431 is a deficient number, since it is larger than the sum of its proper divisors (29704545).

42616431 is a wasteful number, since it uses less digits than its factorization.

42616431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33143 (or 33140 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 42616431 is about 6528.1261476782. The cubic root of 42616431 is about 349.2949917331.

The spelling of 42616431 in words is "forty-two million, six hundred sixteen thousand, four hundred thirty-one".

Divisors: 1 3 9 11 13 33 39 99 117 143 429 1287 33113 99339 298017 364243 430469 1092729 1291407 3278187 3874221 4735159 14205477 42616431