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426871431 = 3375938281
BaseRepresentation
bin11001011100011…
…000101010000111
31002202020022112000
4121130120222013
51333234341211
6110205200343
713402230060
oct3134305207
91082208460
10426871431
111a9a59908
12bab600b3
136a58c55c
144099b567
1527720656
hex19718a87

426871431 has 32 divisors (see below), whose sum is σ = 735014400. Its totient is φ = 239785920.

The previous prime is 426871427. The next prime is 426871483. The reversal of 426871431 is 134178624.

It is not a de Polignac number, because 426871431 - 22 = 426871427 is a prime.

It is a super-3 number, since 3×4268714313 (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (426871231) 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, 7990 + ... + 30291.

It is an arithmetic number, because the mean of its divisors is an integer number (22969200).

Almost surely, 2426871431 is an apocalyptic number.

426871431 is a deficient number, since it is larger than the sum of its proper divisors (308142969).

426871431 is a wasteful number, since it uses less digits than its factorization.

426871431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38356 (or 38350 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 426871431 is about 20660.8671405631. The cubic root of 426871431 is about 752.9492354787.

The spelling of 426871431 in words is "four hundred twenty-six million, eight hundred seventy-one thousand, four hundred thirty-one".

Divisors: 1 3 7 9 21 27 59 63 177 189 413 531 1239 1593 3717 11151 38281 114843 267967 344529 803901 1033587 2258579 2411703 6775737 7235109 15810053 20327211 47430159 60981633 142290477 426871431