48100320 has 72 divisors (see below), whose sum is σ = 164147256. Its totient is φ = 12826368.

The previous prime is 48100319. The next prime is 48100321. The reversal of 48100320 is 2300184.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (48100319) and next prime (48100321).

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×48100320³ (a number of 24 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 48100293 and 48100302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48100321) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15262 + ... + 18141.

It is an arithmetic number, because the mean of its divisors is an integer number (2279823).

Almost surely, 2^48100320 is an apocalyptic number.

48100320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

48100320 is an abundant number, since it is smaller than the sum of its proper divisors (116046936).

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

48100320 is a wasteful number, since it uses less digits than its factorization.

48100320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33424 (or 33413 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 48100320 is about 6935.4394237135. The cubic root of 48100320 is about 363.6771278543.

The spelling of 48100320 in words is "forty-eight million, one hundred thousand, three hundred twenty".