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996274257 = 311131317727
BaseRepresentation
bin111011011000011…
…111000001010001
32120102122222100120
4323120133001101
54020021234012
6242505340453
733455122446
oct7330370121
92512588316
10996274257
11471409660
12239797729
1312b5343c4
149645b9cd
155c6e758c
hex3b61f051

996274257 has 32 divisors (see below), whose sum is σ = 1466809344. Its totient is φ = 596481600.

The previous prime is 996274243. The next prime is 996274313. The reversal of 996274257 is 752472699.

996274257 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 996274257 - 24 = 996274241 is a prime.

It is not an unprimeable number, because it can be changed into a prime (996274217) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1370028 + ... + 1370754.

It is an arithmetic number, because the mean of its divisors is an integer number (45837792).

Almost surely, 2996274257 is an apocalyptic number.

It is an amenable number.

996274257 is a deficient number, since it is larger than the sum of its proper divisors (470535087).

996274257 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (996274256) it forms an eRAP, since the sums of their prime factors are consecutive (1188 and 1189).

996274257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1189.

The product of its digits is 1905120, while the sum is 51.

The square root of 996274257 is about 31563.8124598408. The cubic root of 996274257 is about 998.7565401151.

The spelling of 996274257 in words is "nine hundred ninety-six million, two hundred seventy-four thousand, two hundred fifty-seven".

Divisors: 1 3 11 33 131 317 393 727 951 1441 2181 3487 4323 7997 10461 23991 41527 95237 124581 230459 285711 456797 691377 1047607 1370391 2535049 3142821 7605147 30190129 90570387 332091419 996274257