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479312 = 24291033
BaseRepresentation
bin1110101000001010000
3220100111022
41311001100
5110314222
614135012
74034261
oct1650120
9810438
10479312
112a8129
121b1468
1313a222
14c6968
1597042
hex75050

479312 has 20 divisors (see below), whose sum is σ = 961620. Its totient is φ = 231168.

The previous prime is 479309. The next prime is 479317. The reversal of 479312 is 213974.

479312 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 379456 + 99856 = 616^2 + 316^2 .

It is a Smith number, since the sum of its digits (26) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (479317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 53 + ... + 980.

It is an arithmetic number, because the mean of its divisors is an integer number (48081).

2479312 is an apocalyptic number.

It is an amenable number.

479312 is an abundant number, since it is smaller than the sum of its proper divisors (482308).

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

479312 is a wasteful number, since it uses less digits than its factorization.

479312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1070 (or 1064 counting only the distinct ones).

The product of its digits is 1512, while the sum is 26.

The square root of 479312 is about 692.3236237483. The cubic root of 479312 is about 78.2599262008.

The spelling of 479312 in words is "four hundred seventy-nine thousand, three hundred twelve".

Divisors: 1 2 4 8 16 29 58 116 232 464 1033 2066 4132 8264 16528 29957 59914 119828 239656 479312