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479449971 = 3271113192801
BaseRepresentation
bin11100100100111…
…101001101110011
31020102011120201100
4130210331031303
51440214344341
6115324135443
714611154220
oct3444751563
91212146640
10479449971
11226700950
12114697583
137843b510
1447966947
152c1593b6
hex1c93d373

479449971 has 96 divisors (see below), whose sum is σ = 979130880. Its totient is φ = 217728000.

The previous prime is 479449939. The next prime is 479450017. The reversal of 479449971 is 179944974.

It is not a de Polignac number, because 479449971 - 25 = 479449939 is a prime.

It is not an unprimeable number, because it can be changed into a prime (479449931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 169771 + ... + 172571.

It is an arithmetic number, because the mean of its divisors is an integer number (10199280).

Almost surely, 2479449971 is an apocalyptic number.

479449971 is an abundant number, since it is smaller than the sum of its proper divisors (499680909).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

479449971 is a wasteful number, since it uses less digits than its factorization.

479449971 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2857 (or 2854 counting only the distinct ones).

The product of its digits is 2286144, while the sum is 54.

The square root of 479449971 is about 21896.3460650402. The cubic root of 479449971 is about 782.6743457701.

The spelling of 479449971 in words is "four hundred seventy-nine million, four hundred forty-nine thousand, nine hundred seventy-one".

Divisors: 1 3 7 9 11 13 19 21 33 39 57 63 77 91 99 117 133 143 171 209 231 247 273 399 429 627 693 741 819 1001 1197 1287 1463 1729 1881 2223 2717 2801 3003 4389 5187 8151 8403 9009 13167 15561 19019 19607 24453 25209 30811 36413 53219 57057 58821 92433 109239 159657 171171 176463 215677 254891 277299 327717 372533 400543 478971 585409 647031 691847 764673 1117599 1201629 1756227 1941093 2075541 2294019 2803801 3352797 3604887 4097863 4842929 5268681 6226623 7610317 8411403 12293589 14528787 22830951 25234209 36880767 43586361 53272219 68492853 159816657 479449971