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42748848 = 24322831049
BaseRepresentation
bin1010001100010…
…0101110110000
32222102212101200
42203010232300
541420430343
64124131200
71026234132
oct243045660
988385350
1042748848
112214892a
1212396b00
138b19a9c
14596b052
153b464d3
hex28c4bb0

42748848 has 60 divisors (see below), whose sum is σ = 120174600. Its totient is φ = 14185728.

The previous prime is 42748847. The next prime is 42748859. The reversal of 42748848 is 84884724.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (42748843) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 40228 + ... + 41276.

It is an arithmetic number, because the mean of its divisors is an integer number (2002910).

Almost surely, 242748848 is an apocalyptic number.

42748848 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 42748848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60087300).

42748848 is an abundant number, since it is smaller than the sum of its proper divisors (77425752).

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

42748848 is a wasteful number, since it uses less digits than its factorization.

42748848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1346 (or 1337 counting only the distinct ones).

The product of its digits is 458752, while the sum is 45.

The square root of 42748848 is about 6538.2603190757. The cubic root of 42748848 is about 349.6563920294.

The spelling of 42748848 in words is "forty-two million, seven hundred forty-eight thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 283 566 849 1049 1132 1698 2098 2264 2547 3147 3396 4196 4528 5094 6294 6792 8392 9441 10188 12588 13584 16784 18882 20376 25176 37764 40752 50352 75528 151056 296867 593734 890601 1187468 1781202 2374936 2671803 3562404 4749872 5343606 7124808 10687212 14249616 21374424 42748848