49900032 has 360 divisors, whose sum is σ = 191026836. Its totient is φ = 12386304.

The previous prime is 49900031. The next prime is 49900051. The reversal of 49900032 is 23000994.

It can be written as a sum of positive squares in 2 ways, for example, as 49787136 + 112896 = 7056^2 + 336^2 .

It is a super-3 number, since 3×49900032³ (a number of 24 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 49899969 and 49900005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49900031) 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 35 ways as a sum of consecutive naturals, for example, 2935288 + ... + 2935304.

Almost surely, 2^49900032 is an apocalyptic number.

49900032 is a gapful number since it is divisible by the number (42) 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 49900032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95513418).

49900032 is an abundant number, since it is smaller than the sum of its proper divisors (141126804).

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

49900032 is a wasteful number, since it uses less digits than its factorization.

49900032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 49900032 is about 7063.9954699872. The cubic root of 49900032 is about 368.1574625448.

The spelling of 49900032 in words is "forty-nine million, nine hundred thousand, thirty-two".