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470890 = 2572312
BaseRepresentation
bin1110010111101101010
3212220221101
41302331222
5110032030
614032014
74000600
oct1627552
9786841
10470890
112a1872
121a860a
13136444
14c3870
15947ca
hex72f6a

470890 has 36 divisors (see below), whose sum is σ = 1018818. Its totient is φ = 156240.

The previous prime is 470887. The next prime is 470891. The reversal of 470890 is 98074.

It can be written as a sum of positive squares in only one way, i.e., 423801 + 47089 = 651^2 + 217^2 .

It is not an unprimeable number, because it can be changed into a prime (470891) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 15175 + ... + 15205.

2470890 is an apocalyptic number.

470890 is an abundant number, since it is smaller than the sum of its proper divisors (547928).

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

470890 is a wasteful number, since it uses less digits than its factorization.

470890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

The square root of 470890 is about 686.2142522565. The cubic root of 470890 is about 77.7988461444.

Subtracting from 470890 its reverse (98074), we obtain a triangular number (372816 = T863).

The spelling of 470890 in words is "four hundred seventy thousand, eight hundred ninety".

Divisors: 1 2 5 7 10 14 31 35 49 62 70 98 155 217 245 310 434 490 961 1085 1519 1922 2170 3038 4805 6727 7595 9610 13454 15190 33635 47089 67270 94178 235445 470890