48513000 has 128 divisors (see below), whose sum is σ = 153803520. Its totient is φ = 12729600.

The previous prime is 48512993. The next prime is 48513011. The reversal of 48513000 is 31584.

It is a super-2 number, since 2×48513000² = 4707022338000000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 308922 + ... + 309078.

It is an arithmetic number, because the mean of its divisors is an integer number (1201590).

Almost surely, 2^48513000 is an apocalyptic number.

48513000 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 48513000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76901760).

48513000 is an abundant number, since it is smaller than the sum of its proper divisors (105290520).

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

48513000 is a wasteful number, since it uses less digits than its factorization.

48513000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 48513000 is about 6965.1274216629. The cubic root of 48513000 is about 364.7142318180.

Adding to 48513000 its reverse (31584), we get a palindrome (48544584).

The spelling of 48513000 in words is "forty-eight million, five hundred thirteen thousand".