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480879 = 32717449
BaseRepresentation
bin1110101011001101111
3220102122100
41311121233
5110342004
614150143
74041660
oct1653157
9812570
10480879
112a9323
121b2353
1313ab59
14c7367
1597739
hex7566f

480879 has 24 divisors (see below), whose sum is σ = 842400. Its totient is φ = 258048.

The previous prime is 480853. The next prime is 480881. The reversal of 480879 is 978084.

It is not a de Polignac number, because 480879 - 29 = 480367 is a prime.

It is a super-3 number, since 3×4808793 = 333602034246574317, which contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 480879.

It is not an unprimeable number, because it can be changed into a prime (480839) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 847 + ... + 1295.

It is an arithmetic number, because the mean of its divisors is an integer number (35100).

2480879 is an apocalyptic number.

480879 is a deficient number, since it is larger than the sum of its proper divisors (361521).

480879 is a wasteful number, since it uses less digits than its factorization.

480879 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 480879 is about 693.4543964818. The cubic root of 480879 is about 78.3451176879.

The spelling of 480879 in words is "four hundred eighty thousand, eight hundred seventy-nine".

Divisors: 1 3 7 9 17 21 51 63 119 153 357 449 1071 1347 3143 4041 7633 9429 22899 28287 53431 68697 160293 480879