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42114462 = 23132411013
BaseRepresentation
bin1010000010100…
…1110110011110
32221020122011220
42200221312132
541240130322
64102354210
71020652455
oct240516636
987218156
1042114462
1121855245
121212b966
138957100
145843b9c
153a6d55c
hex2829d9e

42114462 has 48 divisors (see below), whose sum is σ = 93523248. Its totient is φ = 12629760.

The previous prime is 42114433. The next prime is 42114481. The reversal of 42114462 is 26441124.

It is a happy number.

42114462 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 an unprimeable number.

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, 41068 + ... + 42080.

It is an arithmetic number, because the mean of its divisors is an integer number (1948401).

Almost surely, 242114462 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42114462, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46761624).

42114462 is an abundant number, since it is smaller than the sum of its proper divisors (51408786).

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

42114462 is a wasteful number, since it uses less digits than its factorization.

42114462 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1085 (or 1072 counting only the distinct ones).

The product of its digits is 1536, while the sum is 24.

The square root of 42114462 is about 6489.5656249090. The cubic root of 42114462 is about 347.9181502576.

Adding to 42114462 its reverse (26441124), we get a palindrome (68555586).

The spelling of 42114462 in words is "forty-two million, one hundred fourteen thousand, four hundred sixty-two".

Divisors: 1 2 3 6 13 26 39 41 78 82 123 169 246 338 507 533 1013 1014 1066 1599 2026 3039 3198 6078 6929 13169 13858 20787 26338 39507 41533 41574 79014 83066 124599 171197 249198 342394 513591 539929 1027182 1079858 1619787 3239574 7019077 14038154 21057231 42114462