49101600 has 144 divisors (see below), whose sum is σ = 164052000. Its totient is φ = 12748800.

The previous prime is 49101509. The next prime is 49101607. The reversal of 49101600 is 610194.

49101600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (49101607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 98151 + ... + 98649.

It is an arithmetic number, because the mean of its divisors is an integer number (1139250).

Almost surely, 2^49101600 is an apocalyptic number.

49101600 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 49101600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82026000).

49101600 is an abundant number, since it is smaller than the sum of its proper divisors (114950400).

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

49101600 is a wasteful number, since it uses less digits than its factorization.

49101600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 49101600 is about 7007.2533848863. The cubic root of 49101600 is about 366.1833116784.

Adding to 49101600 its reverse (610194), we get a palindrome (49711794).

The spelling of 49101600 in words is "forty-nine million, one hundred one thousand, six hundred".