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247275625 = 54172372
BaseRepresentation
bin11101011110100…
…10000001101001
3122020021220101111
432233102001221
51001300310000
640311550321
76061544122
oct1657220151
9566256344
10247275625
11117642923
126a98b3a1
133c2ca64c
1424bab049
1516a96cba
hexebd2069

247275625 has 45 divisors (see below), whose sum is σ = 337352169. Its totient is φ = 181152000.

The previous prime is 247275619. The next prime is 247275629. The reversal of 247275625 is 526572742.

The square root of 247275625 is 15725.

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

247275625 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 22 ways, for example, as 197205849 + 50069776 = 14043^2 + 7076^2 .

It is not a de Polignac number, because 247275625 - 23 = 247275617 is a prime.

It is a super-2 number, since 2×2472756252 = 122290469438281250, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (247275629) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 6683107 + ... + 6683143.

Almost surely, 2247275625 is an apocalyptic number.

247275625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

247275625 is the 15725-th square number.

247275625 is the 7863-rd centered octagonal number.

It is an amenable number.

247275625 is a deficient number, since it is larger than the sum of its proper divisors (90076544).

247275625 is an frugal number, since it uses more digits than its factorization.

247275625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 59 counting only the distinct ones).

The product of its digits is 235200, while the sum is 40.

The cubic root of 247275625 is about 627.6638302830.

The spelling of 247275625 in words is "two hundred forty-seven million, two hundred seventy-five thousand, six hundred twenty-five".

Divisors: 1 5 17 25 37 85 125 185 289 425 625 629 925 1369 1445 2125 3145 4625 6845 7225 10625 10693 15725 23125 23273 34225 36125 53465 78625 116365 171125 180625 267325 393125 395641 581825 855625 1336625 1978205 2909125 6683125 9891025 14545625 49455125 247275625