41293152 has 120 divisors (see below), whose sum is σ = 123492600. Its totient is φ = 13533696.

The previous prime is 41293141. The next prime is 41293163. The reversal of 41293152 is 25139214.

It is an interprime number because it is at equal distance from previous prime (41293141) and next prime (41293163).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 230599 + ... + 230777.

It is an arithmetic number, because the mean of its divisors is an integer number (1029105).

Almost surely, 2^41293152 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 41293152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61746300).

41293152 is an abundant number, since it is smaller than the sum of its proper divisors (82199448).

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

41293152 is a wasteful number, since it uses less digits than its factorization.

41293152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 273 counting only the distinct ones).

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

The square root of 41293152 is about 6425.9747898665. The cubic root of 41293152 is about 345.6416037878.

The spelling of 41293152 in words is "forty-one million, two hundred ninety-three thousand, one hundred fifty-two".