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479376 = 24323329
BaseRepresentation
bin1110101000010010000
3220100120200
41311002100
5110320001
614135200
74034412
oct1650220
9810520
10479376
112a8187
121b1500
1313a271
14c69b2
1597086
hex75090

479376 has 30 divisors (see below), whose sum is σ = 1341990. Its totient is φ = 159744.

The previous prime is 479371. The next prime is 479377. The reversal of 479376 is 673974.

It can be written as a sum of positive squares in only one way, i.e., 389376 + 90000 = 624^2 + 300^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 479376.

It is not an unprimeable number, because it can be changed into a prime (479371) 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 5 ways as a sum of consecutive naturals, for example, 1521 + ... + 1808.

It is an arithmetic number, because the mean of its divisors is an integer number (44733).

2479376 is an apocalyptic number.

It is an amenable number.

479376 is an abundant number, since it is smaller than the sum of its proper divisors (862614).

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

479376 is a wasteful number, since it uses less digits than its factorization.

479376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3343 (or 3334 counting only the distinct ones).

The product of its digits is 31752, while the sum is 36.

The square root of 479376 is about 692.3698433641. The cubic root of 479376 is about 78.2634092574.

The spelling of 479376 in words is "four hundred seventy-nine thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 3329 6658 9987 13316 19974 26632 29961 39948 53264 59922 79896 119844 159792 239688 479376