Search a number
-
+
293249325625 = 54216612
BaseRepresentation
bin1000100010001110000…
…01011001101000111001
31001000221001100020102021
410101013001121220321
514301033311410000
6342414502434441
730120664066054
oct4210701315071
91030831306367
10293249325625
11103403665773
1248a00732a21
1321865390429
141029c767a9b
157964be411a
hex4447059a39

293249325625 has 15 divisors (see below), whose sum is σ = 366461275323. Its totient is φ = 234588630000.

The previous prime is 293249325623. The next prime is 293249325641. The reversal of 293249325625 is 526523942392.

The square root of 293249325625 is 541525.

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

It can be written as a sum of positive squares in 7 ways, for example, as 265774274089 + 27475051536 = 515533^2 + 165756^2 .

It is not a de Polignac number, because 293249325625 - 21 = 293249325623 is a prime.

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (293249325623) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 13527295 + ... + 13548955.

Almost surely, 2293249325625 is an apocalyptic number.

293249325625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

293249325625 is the 541525-th square number.

293249325625 is the 270763-rd centered octagonal number.

It is an amenable number.

293249325625 is a deficient number, since it is larger than the sum of its proper divisors (73211949698).

293249325625 is an frugal number, since it uses more digits than its factorization.

293249325625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43342 (or 21666 counting only the distinct ones).

The product of its digits is 6998400, while the sum is 52.

The spelling of 293249325625 in words is "two hundred ninety-three billion, two hundred forty-nine million, three hundred twenty-five thousand, six hundred twenty-five".

Divisors: 1 5 25 125 625 21661 108305 541525 2707625 13538125 469198921 2345994605 11729973025 58649865125 293249325625