Search a number
-
+
24305472 = 263242197
BaseRepresentation
bin101110010110…
…1111101000000
31200201211211200
41130231331000
522210233342
62224541200
7413410302
oct134557500
950654750
1024305472
11127a1074
128181800
135060049
143329972
15220194c
hex172df40

24305472 has 42 divisors (see below), whose sum is σ = 69668898. Its totient is φ = 8101632.

The previous prime is 24305459. The next prime is 24305473. The reversal of 24305472 is 27450342.

It can be written as a sum of positive squares in only one way, i.e., 15872256 + 8433216 = 3984^2 + 2904^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24305473) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 20523 + ... + 21674.

Almost surely, 224305472 is an apocalyptic number.

It is an amenable number.

24305472 is an abundant number, since it is smaller than the sum of its proper divisors (45363426).

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

24305472 is a wasteful number, since it uses less digits than its factorization.

24305472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42215 (or 42202 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 24305472 is about 4930.0580118291. The cubic root of 24305472 is about 289.6685551405.

The spelling of 24305472 in words is "twenty-four million, three hundred five thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 42197 84394 126591 168788 253182 337576 379773 506364 675152 759546 1012728 1350304 1519092 2025456 2700608 3038184 4050912 6076368 8101824 12152736 24305472