48932100 has 180 divisors, whose sum is σ = 181488384. Its totient is φ = 11171520.

The previous prime is 48932071. The next prime is 48932101. The reversal of 48932100 is 123984.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (48932101) 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 59 ways as a sum of consecutive naturals, for example, 56269 + ... + 57131.

Almost surely, 2^48932100 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 48932100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90744192).

48932100 is an abundant number, since it is smaller than the sum of its proper divisors (132556284).

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

48932100 is a wasteful number, since it uses less digits than its factorization.

48932100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 896 (or 880 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 48932100 is about 6995.1483186563. The cubic root of 48932100 is about 365.7614677954.

The spelling of 48932100 in words is "forty-eight million, nine hundred thirty-two thousand, one hundred".