50573952 has 192 divisors, whose sum is σ = 171531360. Its totient is φ = 14100480.

The previous prime is 50573933. The next prime is 50573969. The reversal of 50573952 is 25937505.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 23 ways as a sum of consecutive naturals, for example, 164583 + ... + 164889.

Almost surely, 2^50573952 is an apocalyptic number.

50573952 is a gapful number since it is divisible by the number (52) 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 50573952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85765680).

50573952 is an abundant number, since it is smaller than the sum of its proper divisors (120957408).

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

50573952 is a wasteful number, since it uses less digits than its factorization.

50573952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 47250, while the sum is 36.

The square root of 50573952 is about 7111.5365428295. The cubic root of 50573952 is about 369.8074284005.

It can be divided in two parts, 5057 and 3952, that added together give a palindrome (9009).

The spelling of 50573952 in words is "fifty million, five hundred seventy-three thousand, nine hundred fifty-two".