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248149557 = 321973103193
BaseRepresentation
bin11101100101001…
…11011000110101
3122021221022012100
432302213120311
51002011241212
640342412313
76102144045
oct1662473065
9567838170
10248149557
1111808a487
126b131099
133c545376
1424d57725
1516bbabdc
hexeca7635

248149557 has 48 divisors (see below), whose sum is σ = 388186240. Its totient is φ = 152285184.

The previous prime is 248149547. The next prime is 248149567. The reversal of 248149557 is 755941842.

It is an interprime number because it is at equal distance from previous prime (248149547) and next prime (248149567).

It is not a de Polignac number, because 248149557 - 210 = 248148533 is a prime.

It is a super-3 number, since 3×2481495573 (a number of 26 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248149537) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1285653 + ... + 1285845.

Almost surely, 2248149557 is an apocalyptic number.

It is an amenable number.

248149557 is a deficient number, since it is larger than the sum of its proper divisors (140036683).

248149557 is a wasteful number, since it uses less digits than its factorization.

248149557 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 391 counting only the distinct ones).

The product of its digits is 403200, while the sum is 45.

The square root of 248149557 is about 15752.7634718484. The cubic root of 248149557 is about 628.4023995796.

The spelling of 248149557 in words is "two hundred forty-eight million, one hundred forty-nine thousand, five hundred fifty-seven".

Divisors: 1 3 9 19 57 73 103 171 193 219 309 579 657 927 1387 1737 1957 3667 4161 5871 7519 11001 12483 14089 17613 19879 22557 33003 42267 59637 67671 126801 142861 178911 267691 377701 428583 803073 1133103 1285749 1451167 2409219 3399309 4353501 13060503 27572173 82716519 248149557