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249119241 = 37171921933
BaseRepresentation
bin11101101100101…
…00001000001001
3122100202120100120
432312110020021
51002233303431
640415253453
76113323110
oct1666241011
9570676316
10249119241
11118691a78
126b51a289
133c7c4847
142512ac77
1516d0d196
hexed94209

249119241 has 48 divisors (see below), whose sum is σ = 424427904. Its totient is φ = 126862848.

The previous prime is 249119237. The next prime is 249119243. The reversal of 249119241 is 142911942.

It is not a de Polignac number, because 249119241 - 22 = 249119237 is a prime.

It is not an unprimeable number, because it can be changed into a prime (249119243) 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, 127911 + ... + 129843.

It is an arithmetic number, because the mean of its divisors is an integer number (8842248).

Almost surely, 2249119241 is an apocalyptic number.

249119241 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

249119241 is a deficient number, since it is larger than the sum of its proper divisors (175308663).

249119241 is a wasteful number, since it uses less digits than its factorization.

249119241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1998 (or 1979 counting only the distinct ones).

The product of its digits is 5184, while the sum is 33.

The square root of 249119241 is about 15783.5116814985. The cubic root of 249119241 is about 629.2198632700.

The spelling of 249119241 in words is "two hundred forty-nine million, one hundred nineteen thousand, two hundred forty-one".

Divisors: 1 3 7 17 19 21 51 57 119 133 323 357 361 399 969 1083 1933 2261 2527 5799 6137 6783 7581 13531 18411 32861 36727 40593 42959 98583 110181 128877 230027 257089 624359 690081 697813 771267 1873077 2093439 4370513 4884691 11862821 13111539 14654073 35588463 83039747 249119241