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316148049 = 33721912577
BaseRepresentation
bin10010110110000…
…000100101010001
3211000212222121000
4102312000211101
51121413214144
651212052213
710556133300
oct2266004521
9730788530
10316148049
11152503788
1289a64069
1350662b69
142ddb8437
151cb4d769
hex12d80951

316148049 has 48 divisors (see below), whose sum is σ = 573556800. Its totient is φ = 171134208.

The previous prime is 316148047. The next prime is 316148071. The reversal of 316148049 is 940841613.

316148049 is a `hidden beast` number, since 31 + 614 + 8 + 0 + 4 + 9 = 666.

It is not a de Polignac number, because 316148049 - 21 = 316148047 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (316148047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18849 + ... + 31425.

It is an arithmetic number, because the mean of its divisors is an integer number (11949100).

Almost surely, 2316148049 is an apocalyptic number.

It is an amenable number.

316148049 is a deficient number, since it is larger than the sum of its proper divisors (257408751).

316148049 is a wasteful number, since it uses less digits than its factorization.

316148049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12619 (or 12606 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 316148049 is about 17780.5525504693. The cubic root of 316148049 is about 681.2348158779.

Adding to 316148049 its sum of digits (36), we get a triangular number (316148085 = T25145).

The spelling of 316148049 in words is "three hundred sixteen million, one hundred forty-eight thousand, forty-nine".

Divisors: 1 3 7 9 19 21 27 49 57 63 133 147 171 189 399 441 513 931 1197 1323 2793 3591 8379 12577 25137 37731 88039 113193 238963 264117 339579 616273 716889 792351 1672741 1848819 2150667 2377053 5018223 5546457 6452001 11709187 15054669 16639371 35127561 45164007 105382683 316148049