49682000 has 40 divisors (see below), whose sum is σ = 120135912. Its totient is φ = 19872000.

The previous prime is 49681997. The next prime is 49682011. The reversal of 49682000 is 28694.

It can be written as a sum of positive squares in 4 ways, for example, as 10394176 + 39287824 = 3224^2 + 6268^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×49682000² = 4936602248000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10421 + ... + 14420.

Almost surely, 2^49682000 is an apocalyptic number.

49682000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

49682000 is an abundant number, since it is smaller than the sum of its proper divisors (70453912).

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

49682000 is a wasteful number, since it uses less digits than its factorization.

49682000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24864 (or 24848 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 49682000 is about 7048.5459493430. The cubic root of 49682000 is about 367.6204735600.

The spelling of 49682000 in words is "forty-nine million, six hundred eighty-two thousand".