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2875690431 = 35293741269
BaseRepresentation
bin1010101101100111…
…1000110110111111
321102102010012200000
42223121320312333
521342134043211
61153204005343
7131155652055
oct25331706677
97372105600
102875690431
111246285869
12683090853
1336aa0bb93
141d3cc81d5
1511c6db656
hexab678dbf

2875690431 has 96 divisors (see below), whose sum is σ = 4705646400. Its totient is φ = 1750533120.

The previous prime is 2875690409. The next prime is 2875690439. The reversal of 2875690431 is 1340965782.

2875690431 is a `hidden beast` number, since 2 + 87 + 56 + 90 + 431 = 666.

2875690431 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2875690431 - 211 = 2875688383 is a prime.

It is a super-2 number, since 2×28756904312 = 16539190909889931522, which contains 22 as substring.

2875690431 is strictly pandigital in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2875690439) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10690165 + ... + 10690433.

It is an arithmetic number, because the mean of its divisors is an integer number (49017150).

It is a 1-persistent number, because it is pandigital, but 2⋅2875690431 = 5751380862 is not.

Almost surely, 22875690431 is an apocalyptic number.

2875690431 is a deficient number, since it is larger than the sum of its proper divisors (1829955969).

2875690431 is a wasteful number, since it uses less digits than its factorization.

2875690431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 2875690431 is about 53625.4643895976. The cubic root of 2875690431 is about 1422.0473065499.

The spelling of 2875690431 in words is "two billion, eight hundred seventy-five million, six hundred ninety thousand, four hundred thirty-one".

Divisors: 1 3 9 27 29 37 41 81 87 111 123 243 261 269 333 369 783 807 999 1073 1107 1189 1517 2349 2421 2997 3219 3321 3567 4551 7047 7263 7801 8991 9657 9953 9963 10701 11029 13653 21789 23403 28971 29859 32103 33087 40959 43993 65367 70209 86913 89577 96309 99261 122877 131979 210627 260739 268731 288637 288927 297783 319841 368631 395937 408073 631881 806193 865911 893349 959523 1187811 1224219 1895643 2418579 2597733 2680047 2878569 3563433 3672657 7793199 8635707 10690299 11017971 11834117 23379597 25907121 33053913 35502351 70138791 77721363 99161739 106507053 319521159 958563477 2875690431