49123152 has 80 divisors (see below), whose sum is σ = 151865280. Its totient is φ = 15113088.

The previous prime is 49123111. The next prime is 49123153. The reversal of 49123152 is 25132194.

49123152 is a `hidden beast` number, since 491 + 23 + 152 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49123153) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1243 + ... + 9989.

It is an arithmetic number, because the mean of its divisors is an integer number (1898316).

Almost surely, 2^49123152 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 49123152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75932640).

49123152 is an abundant number, since it is smaller than the sum of its proper divisors (102742128).

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

49123152 is a wasteful number, since it uses less digits than its factorization.

49123152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8777 (or 8765 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 49123152 is about 7008.7910512441. The cubic root of 49123152 is about 366.2368797111.

It can be divided in two parts, 49 and 123152, that added together give a square (123201 = 351²).

The spelling of 49123152 in words is "forty-nine million, one hundred twenty-three thousand, one hundred fifty-two".