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42420112 = 247675653
BaseRepresentation
bin1010000111010…
…0011110010000
32221211011110021
42201310132100
541324420422
64113113224
71023364540
oct241643620
987734407
1042420112
1121a43949
1212258814
138a33277
1458c3320
153acddc7
hex2874790

42420112 has 40 divisors (see below), whose sum is σ = 95349056. Its totient is φ = 17905536.

The previous prime is 42420109. The next prime is 42420181. The reversal of 42420112 is 21102424.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4678 + ... + 10330.

Almost surely, 242420112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42420112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47674528).

42420112 is an abundant number, since it is smaller than the sum of its proper divisors (52928944).

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

42420112 is a wasteful number, since it uses less digits than its factorization.

42420112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5735 (or 5729 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 42420112 is about 6513.0723932719. The cubic root of 42420112 is about 348.7578060371.

Adding to 42420112 its reverse (21102424), we get a palindrome (63522536).

The spelling of 42420112 in words is "forty-two million, four hundred twenty thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 56 67 112 134 268 469 536 938 1072 1876 3752 5653 7504 11306 22612 39571 45224 79142 90448 158284 316568 378751 633136 757502 1515004 2651257 3030008 5302514 6060016 10605028 21210056 42420112