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479968 = 2553283
BaseRepresentation
bin1110101001011100000
3220101101121
41311023200
5110324333
614142024
74036216
oct1651340
9811347
10479968
112a8675
121b1914
1313a608
14c6cb6
159732d
hex752e0

479968 has 24 divisors (see below), whose sum is σ = 966168. Its totient is φ = 234624.

The previous prime is 479957. The next prime is 479971. The reversal of 479968 is 869974.

It is a congruent number.

It is an unprimeable number.

479968 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1555 + ... + 1837.

It is an arithmetic number, because the mean of its divisors is an integer number (40257).

2479968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 479968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483084).

479968 is an abundant number, since it is smaller than the sum of its proper divisors (486200).

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

479968 is a wasteful number, since it uses less digits than its factorization.

479968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 338 counting only the distinct ones).

The product of its digits is 108864, while the sum is 43.

The square root of 479968 is about 692.7972286319. The cubic root of 479968 is about 78.2956128435.

The spelling of 479968 in words is "four hundred seventy-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 16 32 53 106 212 283 424 566 848 1132 1696 2264 4528 9056 14999 29998 59996 119992 239984 479968