49634100 has 144 divisors (see below), whose sum is σ = 164989440. Its totient is φ = 12787200.

The previous prime is 49634093. The next prime is 49634113. The reversal of 49634100 is 143694.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 83404 + ... + 83996.

It is an arithmetic number, because the mean of its divisors is an integer number (1145760).

Almost surely, 2^49634100 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 49634100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82494720).

49634100 is an abundant number, since it is smaller than the sum of its proper divisors (115355340).

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

49634100 is a wasteful number, since it uses less digits than its factorization.

49634100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 647 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 49634100 is about 7045.1472660265. The cubic root of 49634100 is about 367.5022906979.

Adding to 49634100 its reverse (143694), we get a palindrome (49777794).

It can be divided in two parts, 496 and 34100, that added together give a square (34596 = 186²).

The spelling of 49634100 in words is "forty-nine million, six hundred thirty-four thousand, one hundred".