49145292 has 144 divisors (see below), whose sum is σ = 152635392. Its totient is φ = 13530240.

The previous prime is 49145281. The next prime is 49145303. The reversal of 49145292 is 29254194.

It is an interprime number because it is at equal distance from previous prime (49145281) and next prime (49145303).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 210808 + ... + 211040.

It is an arithmetic number, because the mean of its divisors is an integer number (1059968).

Almost surely, 2^49145292 is an apocalyptic number.

49145292 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 49145292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76317696).

49145292 is an abundant number, since it is smaller than the sum of its proper divisors (103490100).

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

49145292 is a wasteful number, since it uses less digits than its factorization.

49145292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 276 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 49145292 is about 7010.3703183213. The cubic root of 49145292 is about 366.2918929198.

The spelling of 49145292 in words is "forty-nine million, one hundred forty-five thousand, two hundred ninety-two".