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479000431 = 72131922083
BaseRepresentation
bin11100100011001…
…111011101101111
31020101022202001201
4130203033131233
51440111003211
6115310350331
714604302500
oct3443173557
91211282051
10479000431
11226424128
121144bb3a7
1378311a10
144788aba7
152c0bb0c1
hex1c8cf76f

479000431 has 36 divisors (see below), whose sum is σ = 633615192. Its totient is φ = 358870176.

The previous prime is 479000429. The next prime is 479000441. The reversal of 479000431 is 134000974.

It is not a de Polignac number, because 479000431 - 21 = 479000429 is a prime.

It is a super-2 number, since 2×4790004312 = 458882825796371522, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 479000431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (479000441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 228916 + ... + 230998.

It is an arithmetic number, because the mean of its divisors is an integer number (17600422).

Almost surely, 2479000431 is an apocalyptic number.

479000431 is a deficient number, since it is larger than the sum of its proper divisors (154614761).

479000431 is a wasteful number, since it uses less digits than its factorization.

479000431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2148 (or 2122 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 479000431 is about 21886.0784746834. The cubic root of 479000431 is about 782.4296532622.

The spelling of 479000431 in words is "four hundred seventy-nine million, four hundred thirty-one", and thus it is an aban number.

Divisors: 1 7 13 19 49 91 133 247 361 637 931 1729 2083 2527 4693 12103 14581 17689 27079 32851 39577 102067 189553 229957 277039 514501 751963 1326871 1939273 3601507 5263741 9775519 25210549 36846187 68428633 479000431