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108988048 = 24131134637
BaseRepresentation
bin1100111111100…
…00011010010000
321121002011111101
412133300122100
5210400104143
614451554144
72462245261
oct637603220
9247064441
10108988048
1156580374
12305bb954
131976c890
1410690968
15987cb4d
hex67f0690

108988048 has 40 divisors (see below), whose sum is σ = 229469688. Its totient is φ = 49846272.

The previous prime is 108988043. The next prime is 108988049. The reversal of 108988048 is 840889801.

It can be written as a sum of positive squares in 4 ways, for example, as 7139584 + 101848464 = 2672^2 + 10092^2 .

It is a junction number, because it is equal to n+sod(n) for n = 108987989 and 108988007.

It is not an unprimeable number, because it can be changed into a prime (108988043) 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 7 ways as a sum of consecutive naturals, for example, 21186 + ... + 25822.

Almost surely, 2108988048 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 108988048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114734844).

108988048 is an abundant number, since it is smaller than the sum of its proper divisors (120481640).

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

108988048 is a wasteful number, since it uses less digits than its factorization.

108988048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4771 (or 4765 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 46.

The square root of 108988048 is about 10439.7340962306. The cubic root of 108988048 is about 477.6681578368.

The spelling of 108988048 in words is "one hundred eight million, nine hundred eighty-eight thousand, forty-eight".

Divisors: 1 2 4 8 13 16 26 52 104 113 208 226 452 904 1469 1808 2938 4637 5876 9274 11752 18548 23504 37096 60281 74192 120562 241124 482248 523981 964496 1047962 2095924 4191848 6811753 8383696 13623506 27247012 54494024 108988048