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40848048 = 2432331857
BaseRepresentation
bin1001101111010…
…0101010110000
32211212021222200
42123310222300
540424114143
64015303200
71004126343
oct233645260
984767880
1040848048
112106a81a
121181ab00
138602857
1455d445a
1538bd1d3
hex26f4ab0

40848048 has 60 divisors (see below), whose sum is σ = 114796968. Its totient is φ = 13559040.

The previous prime is 40848047. The next prime is 40848079. The reversal of 40848048 is 84084804.

40848048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (40848047) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 47236 + ... + 48092.

Almost surely, 240848048 is an apocalyptic number.

40848048 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 40848048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57398484).

40848048 is an abundant number, since it is smaller than the sum of its proper divisors (73948920).

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

40848048 is a wasteful number, since it uses less digits than its factorization.

40848048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1202 (or 1193 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The square root of 40848048 is about 6391.2477654993. The cubic root of 40848048 is about 344.3952101055.

The spelling of 40848048 in words is "forty million, eight hundred forty-eight thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 331 662 857 993 1324 1714 1986 2571 2648 2979 3428 3972 5142 5296 5958 6856 7713 7944 10284 11916 13712 15426 15888 20568 23832 30852 41136 47664 61704 123408 283667 567334 851001 1134668 1702002 2269336 2553003 3404004 4538672 5106006 6808008 10212012 13616016 20424024 40848048