49148736 has 224 divisors, whose sum is σ = 167274240. Its totient is φ = 12386304.

The previous prime is 49148731. The next prime is 49148741. The reversal of 49148736 is 63784194.

It is an interprime number because it is at equal distance from previous prime (49148731) and next prime (49148741).

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49148731) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 506640 + ... + 506736.

It is an arithmetic number, because the mean of its divisors is an integer number (746760).

Almost surely, 2^49148736 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 49148736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83637120).

49148736 is an abundant number, since it is smaller than the sum of its proper divisors (118125504).

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

49148736 is a wasteful number, since it uses less digits than its factorization.

49148736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 151 counting only the distinct ones).

The product of its digits is 145152, while the sum is 42.

The square root of 49148736 is about 7010.6159501145. The cubic root of 49148736 is about 366.3004490450.

It can be divided in two parts, 4914 and 8736, that multiplied together give a square (42928704 = 6552²).

The spelling of 49148736 in words is "forty-nine million, one hundred forty-eight thousand, seven hundred thirty-six".