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42108624 = 24321911531
BaseRepresentation
bin1010000010100…
…0011011010000
32221020100011200
42200220123100
541234433444
64102311200
71020626445
oct240503320
987210150
1042108624
1121850918
1212128500
13895455c
1458419cc
153a6b969
hex28286d0

42108624 has 60 divisors (see below), whose sum is σ = 118540032. Its totient is φ = 13953600.

The previous prime is 42108623. The next prime is 42108631. The reversal of 42108624 is 42680124.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42108623) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26739 + ... + 28269.

Almost surely, 242108624 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 42108624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59270016).

42108624 is an abundant number, since it is smaller than the sum of its proper divisors (76431408).

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

42108624 is a wasteful number, since it uses less digits than its factorization.

42108624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1736 (or 1727 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 42108624 is about 6489.1158103396. The cubic root of 42108624 is about 347.9020731199.

Adding to 42108624 its reverse (42680124), we get a palindrome (84788748).

The spelling of 42108624 in words is "forty-two million, one hundred eight thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 191 382 573 764 1146 1528 1531 1719 2292 3056 3062 3438 4584 4593 6124 6876 9168 9186 12248 13752 13779 18372 24496 27504 27558 36744 55116 73488 110232 220464 292421 584842 877263 1169684 1754526 2339368 2631789 3509052 4678736 5263578 7018104 10527156 14036208 21054312 42108624