19933152 has 48 divisors (see below), whose sum is σ = 52935120. Its totient is φ = 6566912.

The previous prime is 19933117. The next prime is 19933159. The reversal of 19933152 is 25133991.

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19933159) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7378 + ... + 9710.

It is an arithmetic number, because the mean of its divisors is an integer number (1102815).

Almost surely, 2^19933152 is an apocalyptic number.

19933152 is a gapful number since it is divisible by the number (12) 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 19933152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26467560).

19933152 is an abundant number, since it is smaller than the sum of its proper divisors (33001968).

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

19933152 is a wasteful number, since it uses less digits than its factorization.

19933152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2435 (or 2427 counting only the distinct ones).

The product of its digits is 7290, while the sum is 33.

The square root of 19933152 is about 4464.6558657975. The cubic root of 19933152 is about 271.1390017789.

The spelling of 19933152 in words is "nineteen million, nine hundred thirty-three thousand, one hundred fifty-two".