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48048840 = 23325723829
BaseRepresentation
bin1011011101001…
…0101011001000
310100102010121200
42313102223020
544300030330
64433504200
71122260040
oct267225310
9110363550
1048048840
1125138894
1214112060
139c54288
14654a720
154341a60
hex2dd2ac8

48048840 has 192 divisors, whose sum is σ = 186451200. Its totient is φ = 10492416.

The previous prime is 48048839. The next prime is 48048857. The reversal of 48048840 is 4884084.

48048840 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 a junction number, because it is equal to n+sod(n) for n = 48048795 and 48048804.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 57546 + ... + 58374.

It is an arithmetic number, because the mean of its divisors is an integer number (971100).

Almost surely, 248048840 is an apocalyptic number.

48048840 is a gapful number since it is divisible by the number (40) 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 48048840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93225600).

48048840 is an abundant number, since it is smaller than the sum of its proper divisors (138402360).

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

48048840 is a wasteful number, since it uses less digits than its factorization.

48048840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 876 (or 869 counting only the distinct ones).

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

The square root of 48048840 is about 6931.7270575233. The cubic root of 48048840 is about 363.5473381308.

The spelling of 48048840 in words is "forty-eight million, forty-eight thousand, eight hundred forty".