Search a number
-
+
42112021 = 726173193
BaseRepresentation
bin1010000010100…
…1010000010101
32221020111211111
42200221100111
541240041041
64102335021
71020642400
oct240512025
987214744
1042112021
1121853426
121212a471
138955c73
145842d37
153a6c981
hex2829415

42112021 has 24 divisors (see below), whose sum is σ = 50734104. Its totient is φ = 34836480.

The previous prime is 42112001. The next prime is 42112061. The reversal of 42112021 is 12021124.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 4900 + 42107121 = 70^2 + 6489^2 .

It is not a de Polignac number, because 42112021 - 27 = 42111893 is a prime.

It is a Duffinian number.

It is a zygodrome in base 4.

It is a junction number, because it is equal to n+sod(n) for n = 42111992 and 42112010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42112001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 218101 + ... + 218293.

It is an arithmetic number, because the mean of its divisors is an integer number (2113921).

Almost surely, 242112021 is an apocalyptic number.

It is an amenable number.

42112021 is a deficient number, since it is larger than the sum of its proper divisors (8622083).

42112021 is a wasteful number, since it uses less digits than its factorization.

42112021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 42112021 is about 6489.3775510445. The cubic root of 42112021 is about 347.9114282230.

Adding to 42112021 its reverse (12021124), we get a palindrome (54133145).

The spelling of 42112021 in words is "forty-two million, one hundred twelve thousand, twenty-one".

Divisors: 1 7 49 61 73 193 427 511 1351 2989 3577 4453 9457 11773 14089 31171 82411 98623 218197 576877 690361 859429 6016003 42112021