14921952 has 48 divisors (see below), whose sum is σ = 40238352. Its totient is φ = 4838400.

The previous prime is 14921947. The next prime is 14921953. The reversal of 14921952 is 25912941.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14921953) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1452 + ... + 5652.

It is an arithmetic number, because the mean of its divisors is an integer number (838299).

Almost surely, 2^14921952 is an apocalyptic number.

14921952 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 14921952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20119176).

14921952 is an abundant number, since it is smaller than the sum of its proper divisors (25316400).

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

14921952 is a wasteful number, since it uses less digits than its factorization.

14921952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4251 (or 4243 counting only the distinct ones).

The product of its digits is 6480, while the sum is 33.

The square root of 14921952 is about 3862.8942517237. The cubic root of 14921952 is about 246.1927235870.

It can be divided in two parts, 1 and 4921952, that added together give a triangular number (4921953 = T₃₁₃₇).

The spelling of 14921952 in words is "fourteen million, nine hundred twenty-one thousand, nine hundred fifty-two".