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48330000 = 243354179
BaseRepresentation
bin1011100001011…
…1010100010000
310100221102022000
42320113110100
544333030000
64443514000
71124540535
oct270272420
9110842260
1048330000
1125310054
1214228900
13a022244
1465c0d8c
15439a000
hex2e17510

48330000 has 200 divisors, whose sum is σ = 174319200. Its totient is φ = 12816000.

The previous prime is 48329999. The next prime is 48330001. The reversal of 48330000 is 3384.

It is an interprime number because it is at equal distance from previous prime (48329999) and next prime (48330001).

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (48330001) 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 39 ways as a sum of consecutive naturals, for example, 269911 + ... + 270089.

It is an arithmetic number, because the mean of its divisors is an integer number (871596).

Almost surely, 248330000 is an apocalyptic number.

48330000 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 48330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87159600).

48330000 is an abundant number, since it is smaller than the sum of its proper divisors (125989200).

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

48330000 is a wasteful number, since it uses less digits than its factorization.

48330000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 48330000 is about 6951.9781357539. The cubic root of 48330000 is about 364.2550641538.

Adding to 48330000 its reverse (3384), we get a palindrome (48333384).

The spelling of 48330000 in words is "forty-eight million, three hundred thirty thousand".