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470084 = 221731223
BaseRepresentation
bin1110010110001000100
3212212211112
41302301010
5110020314
614024152
73665336
oct1626104
9785745
10470084
112a11aa
121a8058
13135c74
14c3456
159443e
hex72c44

470084 has 24 divisors (see below), whose sum is σ = 903168. Its totient is φ = 213120.

The previous prime is 470083. The next prime is 470087. The reversal of 470084 is 480074.

470084 = T149 + T150 + ... + T182.

It is a Smith number, since the sum of its digits (23) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 470084.

It is not an unprimeable number, because it can be changed into a prime (470081) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1997 + ... + 2219.

It is an arithmetic number, because the mean of its divisors is an integer number (37632).

2470084 is an apocalyptic number.

It is an amenable number.

470084 is a deficient number, since it is larger than the sum of its proper divisors (433084).

470084 is a wasteful number, since it uses less digits than its factorization.

470084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 23.

The square root of 470084 is about 685.6267205995. The cubic root of 470084 is about 77.7544326005.

The spelling of 470084 in words is "four hundred seventy thousand, eighty-four".

Divisors: 1 2 4 17 31 34 62 68 124 223 446 527 892 1054 2108 3791 6913 7582 13826 15164 27652 117521 235042 470084