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431045979 = 371331353
BaseRepresentation
bin11001101100010…
…011110101011011
31010001002101220220
4121230103311123
51340321432404
6110434451123
713452554550
oct3154236533
91101071826
10431045979
11201350251
12100433aa3
136b3c16c0
1441366a27
1527c974d9
hex19b13d5b

431045979 has 64 divisors (see below), whose sum is σ = 744726528. Its totient is φ = 215879040.

The previous prime is 431045939. The next prime is 431045983. The reversal of 431045979 is 979540134.

It is not a de Polignac number, because 431045979 - 212 = 431041883 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 431045979.

It is not an unprimeable number, because it can be changed into a prime (431045929) 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 63 ways as a sum of consecutive naturals, for example, 8132917 + ... + 8132969.

It is an arithmetic number, because the mean of its divisors is an integer number (11636352).

Almost surely, 2431045979 is an apocalyptic number.

431045979 is a deficient number, since it is larger than the sum of its proper divisors (313680549).

431045979 is an equidigital number, since it uses as much as digits as its factorization.

431045979 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 42.

The square root of 431045979 is about 20761.6468277447. The cubic root of 431045979 is about 755.3957424158.

The spelling of 431045979 in words is "four hundred thirty-one million, forty-five thousand, nine hundred seventy-nine".

Divisors: 1 3 7 13 21 31 39 53 91 93 159 217 273 371 403 651 689 961 1113 1209 1643 2067 2821 2883 4823 4929 6727 8463 11501 12493 14469 20181 21359 29791 34503 37479 50933 64077 87451 89373 149513 152799 208537 262353 356531 387283 448539 625611 662129 1069593 1161849 1578923 1986387 2710981 4634903 4736769 8132943 11052461 13904709 20525999 33157383 61577997 143681993 431045979