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42462342 = 23213792297
BaseRepresentation
bin1010000111111…
…0110010000110
32221220022101100
42201332302012
541332243332
64114040530
71023631626
oct241766206
987808340
1042462342
1121a7264a
1212279146
138a49560
1458d4886
153adb67c
hex287ec86

42462342 has 48 divisors (see below), whose sum is σ = 100376640. Its totient is φ = 12894336.

The previous prime is 42462341. The next prime is 42462353. The reversal of 42462342 is 24326424.

42462342 is a `hidden beast` number, since 424 + 6 + 234 + 2 = 666.

42462342 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42462341) 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, 17338 + ... + 19634.

It is an arithmetic number, because the mean of its divisors is an integer number (2091180).

Almost surely, 242462342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42462342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50188320).

42462342 is an abundant number, since it is smaller than the sum of its proper divisors (57914298).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42462342 is a wasteful number, since it uses less digits than its factorization.

42462342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2397 (or 2394 counting only the distinct ones).

The product of its digits is 9216, while the sum is 27.

The square root of 42462342 is about 6516.3135283686. The cubic root of 42462342 is about 348.8734992528.

Adding to 42462342 its reverse (24326424), we get a palindrome (66788766).

The spelling of 42462342 in words is "forty-two million, four hundred sixty-two thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 79 117 158 234 237 474 711 1027 1422 2054 2297 3081 4594 6162 6891 9243 13782 18486 20673 29861 41346 59722 89583 179166 181463 268749 362926 537498 544389 1088778 1633167 2359019 3266334 4718038 7077057 14154114 21231171 42462342