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9293924025 = 325264272
BaseRepresentation
bin10001010011111011…
…00000011010111001
3212222201011020222100
420221331200122321
5123013221032100
64134121014013
7446212023261
oct105175403271
925881136870
109293924025
113a3a1a5751
121974624309
13b51631639
146424867a1
15395dda400
hex229f606b9

9293924025 has 27 divisors (see below), whose sum is σ = 16649041071. Its totient is φ = 4955988240.

The previous prime is 9293924011. The next prime is 9293924027. The reversal of 9293924025 is 5204293929.

The square root of 9293924025 is 96405.

It is a perfect power (a square), and thus also a powerful number.

9293924025 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 3345812649 + 5948111376 = 57843^2 + 77124^2 .

It is not a de Polignac number, because 9293924025 - 27 = 9293923897 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (9293924027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1442862 + ... + 1449288.

Almost surely, 29293924025 is an apocalyptic number.

9293924025 is the 96405-th square number.

9293924025 is the 48203-rd centered octagonal number.

It is an amenable number.

9293924025 is a deficient number, since it is larger than the sum of its proper divisors (7355117046).

9293924025 is an frugal number, since it uses more digits than its factorization.

9293924025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12870 (or 6435 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The cubic root of 9293924025 is about 2102.4856451642.

It can be divided in two parts, 92939 and 24025, that added together give a square (116964 = 3422).

The spelling of 9293924025 in words is "nine billion, two hundred ninety-three million, nine hundred twenty-four thousand, twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 6427 19281 32135 57843 96405 160675 289215 482025 1446075 41306329 123918987 206531645 371756961 619594935 1032658225 1858784805 3097974675 9293924025