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24492 = 22313157
BaseRepresentation
bin101111110101100
31020121010
411332230
51240432
6305220
7131256
oct57654
936533
1024492
1117446
1212210
13b1c0
148cd6
1573cc
hex5fac

24492 has 24 divisors (see below), whose sum is σ = 61936. Its totient is φ = 7488.

The previous prime is 24481. The next prime is 24499. The reversal of 24492 is 29442.

It is not an unprimeable number, because it can be changed into a prime (24499) 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, 78 + ... + 234.

224492 is an apocalyptic number.

It is a pronic number, being equal to 156×157.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 24492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30968).

24492 is an abundant number, since it is smaller than the sum of its proper divisors (37444).

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

24492 is a wasteful number, since it uses less digits than its factorization.

24492 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 175 counting only the distinct ones).

The product of its digits is 576, while the sum is 21.

The square root of 24492 is about 156.4992012759. The cubic root of 24492 is about 29.0407670797.

Subtracting 24492 from its reverse (29442), we obtain a triangular number (4950 = T99).

The spelling of 24492 in words is "twenty-four thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 157 314 471 628 942 1884 2041 4082 6123 8164 12246 24492