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479712 = 25319263
BaseRepresentation
bin1110101000111100000
3220101001010
41311013200
5110322322
614140520
74035402
oct1650740
9811033
10479712
112a8462
121b1740
1313a46c
14c6b72
159720c
hex751e0

479712 has 48 divisors (see below), whose sum is σ = 1330560. Its totient is φ = 150912.

The previous prime is 479701. The next prime is 479749. The reversal of 479712 is 217974.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 479712.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1693 + ... + 1955.

It is an arithmetic number, because the mean of its divisors is an integer number (27720).

2479712 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 479712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (665280).

479712 is an abundant number, since it is smaller than the sum of its proper divisors (850848).

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

479712 is a wasteful number, since it uses less digits than its factorization.

479712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 287 counting only the distinct ones).

The product of its digits is 3528, while the sum is 30.

The square root of 479712 is about 692.6124457444. The cubic root of 479712 is about 78.2816902199.

The spelling of 479712 in words is "four hundred seventy-nine thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 263 304 456 526 608 789 912 1052 1578 1824 2104 3156 4208 4997 6312 8416 9994 12624 14991 19988 25248 29982 39976 59964 79952 119928 159904 239856 479712