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442477207 = 17241107349
BaseRepresentation
bin11010010111111…
…010101010010111
31010211121011121201
4122113322222113
51401233232312
6111523453331
713651665004
oct3227725227
91124534551
10442477207
11207848747
12104227247
1370894843
1442aa08ab
1528ca4557
hex1a5faa97

442477207 has 24 divisors (see below), whose sum is σ = 487393200. Its totient is φ = 401341440.

The previous prime is 442477201. The next prime is 442477261. The reversal of 442477207 is 702774244.

It is a happy number.

It is not a de Polignac number, because 442477207 - 23 = 442477199 is a prime.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442477201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1267669 + ... + 1268017.

It is an arithmetic number, because the mean of its divisors is an integer number (20308050).

Almost surely, 2442477207 is an apocalyptic number.

442477207 is a deficient number, since it is larger than the sum of its proper divisors (44915993).

442477207 is a wasteful number, since it uses less digits than its factorization.

442477207 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 531 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 87808, while the sum is 37.

The square root of 442477207 is about 21035.1421911049. The cubic root of 442477207 is about 762.0152006346.

The spelling of 442477207 in words is "four hundred forty-two million, four hundred seventy-seven thousand, two hundred seven".

Divisors: 1 17 41 107 289 349 697 1819 4387 5933 11849 14309 30923 37343 74579 100861 243253 634831 1267843 1531063 4135301 10792127 26028071 442477207