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42498288 = 24327219317
BaseRepresentation
bin1010001000011…
…1100011110000
32221222010200200
42202013203300
541334421123
64114515200
71024141500
oct242074360
987863620
1042498288
1121a97658
1212295b00
138a5ca21
145903a00
153ae7143
hex28878f0

42498288 has 180 divisors, whose sum is σ = 146095560. Its totient is φ = 11467008.

The previous prime is 42498271. The next prime is 42498329. The reversal of 42498288 is 88289424.

It is a happy number.

It is a super-2 number, since 2×424982882 = 3612208965861888, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 133906 + ... + 134222.

It is an arithmetic number, because the mean of its divisors is an integer number (811642).

Almost surely, 242498288 is an apocalyptic number.

42498288 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42498288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73047780).

42498288 is an abundant number, since it is smaller than the sum of its proper divisors (103597272).

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

42498288 is a wasteful number, since it uses less digits than its factorization.

42498288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 348 counting only the distinct ones).

The product of its digits is 294912, while the sum is 45.

The square root of 42498288 is about 6519.0710994742. The cubic root of 42498288 is about 348.9719164163.

The spelling of 42498288 in words is "forty-two million, four hundred ninety-eight thousand, two hundred eighty-eight".