48093920 has 96 divisors (see below), whose sum is σ = 135571968. Its totient is φ = 15763968.

The previous prime is 48093917. The next prime is 48093923. The reversal of 48093920 is 2939084.

It is an interprime number because it is at equal distance from previous prime (48093917) and next prime (48093923).

It is a super-3 number, since 3×48093920³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48093923) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24827 + ... + 26693.

It is an arithmetic number, because the mean of its divisors is an integer number (1412208).

Almost surely, 2^48093920 is an apocalyptic number.

48093920 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 48093920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67785984).

48093920 is an abundant number, since it is smaller than the sum of its proper divisors (87478048).

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

48093920 is a wasteful number, since it uses less digits than its factorization.

48093920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1912 (or 1904 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 35.

The square root of 48093920 is about 6934.9780100589. The cubic root of 48093920 is about 363.6609974221.

The spelling of 48093920 in words is "forty-eight million, ninety-three thousand, nine hundred twenty".