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476364 = 223753107
BaseRepresentation
bin1110100010011001100
3220012110010
41310103030
5110220424
614113220
74022550
oct1642314
9805403
10476364
112a5999
121ab810
13138a95
14c5860
1596229
hex744cc

476364 has 48 divisors (see below), whose sum is σ = 1306368. Its totient is φ = 132288.

The previous prime is 476363. The next prime is 476369. The reversal of 476364 is 463674.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 476364.

It is not an unprimeable number, because it can be changed into a prime (476363) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4399 + ... + 4505.

It is an arithmetic number, because the mean of its divisors is an integer number (27216).

2476364 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 476364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653184).

476364 is an abundant number, since it is smaller than the sum of its proper divisors (830004).

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

476364 is a wasteful number, since it uses less digits than its factorization.

476364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 172 counting only the distinct ones).

The product of its digits is 12096, while the sum is 30.

The square root of 476364 is about 690.1912778354. The cubic root of 476364 is about 78.0991507015.

The spelling of 476364 in words is "four hundred seventy-six thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 53 84 106 107 159 212 214 318 321 371 428 636 642 742 749 1113 1284 1484 1498 2226 2247 2996 4452 4494 5671 8988 11342 17013 22684 34026 39697 68052 79394 119091 158788 238182 476364