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248472169 = 11214332
BaseRepresentation
bin11101100111101…
…10001001101001
3122022112200201221
432303312021221
51002102102134
640353342041
76104656441
oct1663661151
9568480657
10248472169
1111828a900
126b267921
133c62916a
1424ddd121
1516c315b4
hexecf6269

248472169 has 9 divisors (see below), whose sum is σ = 273304759. Its totient is φ = 225726160.

The previous prime is 248472167. The next prime is 248472181. The reversal of 248472169 is 961274842.

The square root of 248472169 is 15763.

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

It can be written as a sum of positive squares in only one way, i.e., 206066025 + 42406144 = 14355^2 + 6512^2 .

It is not a de Polignac number, because 248472169 - 21 = 248472167 is a prime.

It is a super-2 number, since 2×2484721692 = 123476837535129122, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (248472167) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 172677 + ... + 174109.

Almost surely, 2248472169 is an apocalyptic number.

248472169 is the 15763-rd square number.

248472169 is the 7882-nd centered octagonal number.

It is an amenable number.

248472169 is a deficient number, since it is larger than the sum of its proper divisors (24832590).

248472169 is an frugal number, since it uses more digits than its factorization.

248472169 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2888 (or 1444 counting only the distinct ones).

The product of its digits is 193536, while the sum is 43.

The cubic root of 248472169 is about 628.6746041945.

The spelling of 248472169 in words is "two hundred forty-eight million, four hundred seventy-two thousand, one hundred sixty-nine".

Divisors: 1 11 121 1433 15763 173393 2053489 22588379 248472169