48933144 has 96 divisors (see below), whose sum is σ = 148992480. Its totient is φ = 14395392.

The previous prime is 48933139. The next prime is 48933149. The reversal of 48933144 is 44133984.

48933144 is a `hidden beast` number, since 489 + 33 + 144 = 666.

It is an interprime number because it is at equal distance from previous prime (48933139) and next prime (48933149).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 48933099 and 48933108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48933149) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20392 + ... + 22664.

It is an arithmetic number, because the mean of its divisors is an integer number (1552005).

Almost surely, 2^48933144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48933144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74496240).

48933144 is an abundant number, since it is smaller than the sum of its proper divisors (100059336).

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

48933144 is a wasteful number, since it uses less digits than its factorization.

48933144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2321 (or 2314 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 48933144 is about 6995.2229414079. Note that the first 3 decimals coincide. The cubic root of 48933144 is about 365.7640690344.

It can be divided in two parts, 489 and 33144, that added together give a palindrome (33633).

The spelling of 48933144 in words is "forty-eight million, nine hundred thirty-three thousand, one hundred forty-four".