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479744 = 29937
BaseRepresentation
bin1110101001000000000
3220101002022
41311020000
5110322434
614141012
74035446
oct1651000
9811068
10479744
112a8491
121b1768
1313a495
14c6b96
159722e
hex75200

479744 has 20 divisors (see below), whose sum is σ = 959574. Its totient is φ = 239616.

The previous prime is 479701. The next prime is 479749. The reversal of 479744 is 447974.

It can be written as a sum of positive squares in only one way, i.e., 473344 + 6400 = 688^2 + 80^2 .

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (479749) by changing a digit.

479744 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 as a sum of consecutive naturals, namely, 44 + ... + 980.

2479744 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 479744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479787).

479744 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

479744 is an frugal number, since it uses more digits than its factorization.

479744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 955 (or 939 counting only the distinct ones).

The product of its digits is 28224, while the sum is 35.

The square root of 479744 is about 692.6355463012. The cubic root of 479744 is about 78.2834308187.

The spelling of 479744 in words is "four hundred seventy-nine thousand, seven hundred forty-four".

Divisors: 1 2 4 8 16 32 64 128 256 512 937 1874 3748 7496 14992 29984 59968 119936 239872 479744