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48390048 = 253572127
BaseRepresentation
bin1011100010010…
…1111110100000
310101001110200000
42320211332200
544341440143
64445100000
71125210600
oct270457640
9111043600
1048390048
1125351183
1214257600
13a043685
1465d8c00
1543acbd3
hex2e25fa0

48390048 has 216 divisors, whose sum is σ = 167311872. Its totient is φ = 13716864.

The previous prime is 48390037. The next prime is 48390059. The reversal of 48390048 is 84009384.

48390048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (48390037) and next prime (48390059).

It is a tau number, because it is divible by the number of its divisors (216).

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 = 48389994 and 48390021.

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 35 ways as a sum of consecutive naturals, for example, 380961 + ... + 381087.

It is an arithmetic number, because the mean of its divisors is an integer number (774592).

Almost surely, 248390048 is an apocalyptic number.

48390048 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 48390048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83655936).

48390048 is an abundant number, since it is smaller than the sum of its proper divisors (118921824).

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

48390048 is a wasteful number, since it uses less digits than its factorization.

48390048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 48390048 is about 6956.2955658885. The cubic root of 48390048 is about 364.4058589374.

The spelling of 48390048 in words is "forty-eight million, three hundred ninety thousand, forty-eight".