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275942997 = 331117314143
BaseRepresentation
bin10000011100101…
…000111001010101
3201020020100122000
4100130220321111
51031120133442
643214225513
76560322351
oct2034507125
9636210560
10275942997
11131843070
12784b5299
1345226ba5
1428910461
151935ad4c
hex10728e55

275942997 has 128 divisors (see below), whose sum is σ = 510935040. Its totient is φ = 145152000.

The previous prime is 275942977. The next prime is 275943011. The reversal of 275942997 is 799249572.

275942997 is a `hidden beast` number, since 27 + 594 + 29 + 9 + 7 = 666.

It is not a de Polignac number, because 275942997 - 27 = 275942869 is a prime.

It is a super-2 number, since 2×2759429972 = 152289075186684018, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (275942977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6417258 + ... + 6417300.

It is an arithmetic number, because the mean of its divisors is an integer number (3991680).

Almost surely, 2275942997 is an apocalyptic number.

275942997 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

275942997 is a deficient number, since it is larger than the sum of its proper divisors (234992043).

275942997 is a wasteful number, since it uses less digits than its factorization.

275942997 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 146 counting only the distinct ones).

The product of its digits is 2857680, while the sum is 54.

The square root of 275942997 is about 16611.5320485499. The cubic root of 275942997 is about 651.0381807758.

The spelling of 275942997 in words is "two hundred seventy-five million, nine hundred forty-two thousand, nine hundred ninety-seven".

Divisors: 1 3 9 11 17 27 31 33 41 43 51 93 99 123 129 153 187 279 297 341 369 387 451 459 473 527 561 697 731 837 1023 1107 1161 1271 1333 1353 1419 1581 1683 1763 2091 2193 3069 3813 3999 4059 4257 4743 5049 5289 5797 6273 6579 7667 8041 9207 11439 11997 12177 12771 13981 14229 14663 15867 17391 18819 19393 19737 21607 22661 23001 24123 29971 34317 35991 41943 43989 47601 52173 54653 58179 64821 67983 69003 72369 89913 125829 131967 156519 163959 174537 194463 203949 207009 217107 237677 249271 269739 329681 377487 395901 491877 523611 583389 601183 611847 713031 747813 809217 929101 989043 1475631 1803549 2139093 2243439 2787303 2967129 5410647 6417279 6730317 8361909 8901387 10220111 16231941 25085727 30660333 91980999 275942997