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248680743 = 3172972957
BaseRepresentation
bin11101101001010…
…01000100100111
3122022221021211220
432310221010213
51002130240433
640402031423
76106515513
oct1664510447
9568837756
10248680743
11118412583
126b348573
133c6a008c
1425055143
1516c732b3
hexed29127

248680743 has 24 divisors (see below), whose sum is σ = 355977552. Its totient is φ = 154374144.

The previous prime is 248680741. The next prime is 248680763. The reversal of 248680743 is 347086842.

248680743 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 248680743 - 21 = 248680741 is a prime.

It is a super-2 number, since 2×2486807432 = 123684223878064098, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 248680695 and 248680704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248680741) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82621 + ... + 85577.

It is an arithmetic number, because the mean of its divisors is an integer number (14832398).

Almost surely, 2248680743 is an apocalyptic number.

248680743 is a deficient number, since it is larger than the sum of its proper divisors (107296809).

248680743 is a wasteful number, since it uses less digits than its factorization.

248680743 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3091 (or 3074 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 42.

The square root of 248680743 is about 15769.6145482380. The cubic root of 248680743 is about 628.8504636003.

The spelling of 248680743 in words is "two hundred forty-eight million, six hundred eighty thousand, seven hundred forty-three".

Divisors: 1 3 17 51 97 289 291 867 1649 2957 4947 8871 28033 50269 84099 150807 286829 854573 860487 2563719 4876093 14628279 82893581 248680743