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76143969 = 3411217457
BaseRepresentation
bin1001000100111…
…01110101100001
312022021111220000
410202131311201
5123443101334
611320010213
71613133036
oct442356541
9168244800
1076143969
1139a88100
1221600969
1312a10205
14a18138d
156a41299
hex489dd61

76143969 has 60 divisors (see below), whose sum is σ = 132670692. Its totient is φ = 43338240.

The previous prime is 76143953. The next prime is 76143971. The reversal of 76143969 is 96934167.

It can be written as a sum of positive squares in 2 ways, for example, as 62726400 + 13417569 = 7920^2 + 3663^2 .

It is not a de Polignac number, because 76143969 - 24 = 76143953 is a prime.

It is a super-2 number, since 2×761439692 = 11595808030145922, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76143269) 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 59 ways as a sum of consecutive naturals, for example, 166389 + ... + 166845.

Almost surely, 276143969 is an apocalyptic number.

It is an amenable number.

76143969 is a deficient number, since it is larger than the sum of its proper divisors (56526723).

76143969 is a wasteful number, since it uses less digits than its factorization.

76143969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508 (or 488 counting only the distinct ones).

The product of its digits is 244944, while the sum is 45.

The square root of 76143969 is about 8726.0511687704. The cubic root of 76143969 is about 423.8496578199.

The spelling of 76143969 in words is "seventy-six million, one hundred forty-three thousand, nine hundred sixty-nine".

Divisors: 1 3 9 11 17 27 33 51 81 99 121 153 187 297 363 457 459 561 891 1089 1371 1377 1683 2057 3267 4113 5027 5049 6171 7769 9801 12339 15081 15147 18513 23307 37017 45243 55297 55539 69921 85459 135729 165891 166617 209763 256377 407187 497673 629289 769131 940049 1493019 2307393 2820147 4479057 6922179 8460441 25381323 76143969