49200768 has 48 divisors (see below), whose sum is σ = 141583650. Its totient is φ = 16399872.

The previous prime is 49200763. The next prime is 49200773. The reversal of 49200768 is 86700294.

It is an interprime number because it is at equal distance from previous prime (49200763) and next prime (49200773).

It can be written as a sum of positive squares in only one way, i.e., 46131264 + 3069504 = 6792^2 + 1752^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (49200763) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 20203 + ... + 22506.

Almost surely, 2^49200768 is an apocalyptic number.

49200768 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

49200768 is an abundant number, since it is smaller than the sum of its proper divisors (92382882).

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

49200768 is a wasteful number, since it uses less digits than its factorization.

49200768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42729 (or 42714 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 49200768 is about 7014.3259120175. The cubic root of 49200768 is about 366.4296664957.

The spelling of 49200768 in words is "forty-nine million, two hundred thousand, seven hundred sixty-eight".