Search a number
-
+
24140052 = 2233832693
BaseRepresentation
bin101110000010…
…1100100010100
31200102102221000
41130011210110
522134440202
62221223300
7412121106
oct134054424
950372830
1024140052
1112698862
128101b30
135002971
1432c5576
1521bc91c
hex1705914

24140052 has 48 divisors (see below), whose sum is σ = 63362880. Its totient is φ = 7946784.

The previous prime is 24140047. The next prime is 24140059. The reversal of 24140052 is 25004142.

It is a super-2 number, since 2×241400522 = 1165484221125408, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24140059) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7618 + ... + 10310.

It is an arithmetic number, because the mean of its divisors is an integer number (1320060).

Almost surely, 224140052 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 24140052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31681440).

24140052 is an abundant number, since it is smaller than the sum of its proper divisors (39222828).

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

24140052 is a wasteful number, since it uses less digits than its factorization.

24140052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2789 (or 2781 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 24140052 is about 4913.2526904282. The cubic root of 24140052 is about 289.0099093436.

Adding to 24140052 its reverse (25004142), we get a palindrome (49144194).

The spelling of 24140052 in words is "twenty-four million, one hundred forty thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 83 108 166 249 332 498 747 996 1494 2241 2693 2988 4482 5386 8079 8964 10772 16158 24237 32316 48474 72711 96948 145422 223519 290844 447038 670557 894076 1341114 2011671 2682228 4023342 6035013 8046684 12070026 24140052