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442704769 = 131719231179
BaseRepresentation
bin11010011000110…
…010001110000001
31010212000201202221
4122120302032001
51401313023034
6111532411041
713653633313
oct3230621601
91125021687
10442704769
11207993711
12104316a81
13709442b0
1442b1d7b3
1528cebbb4
hex1a632381

442704769 has 48 divisors (see below), whose sum is σ = 553029120. Its totient is φ = 350645760.

The previous prime is 442704767. The next prime is 442704781. The reversal of 442704769 is 967407244.

It is not a de Polignac number, because 442704769 - 21 = 442704767 is a prime.

It is a super-2 number, since 2×4427047692 = 391975024990686722, which contains 22 as substring.

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (442704763) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2473122 + ... + 2473300.

It is an arithmetic number, because the mean of its divisors is an integer number (11521440).

Almost surely, 2442704769 is an apocalyptic number.

It is an amenable number.

442704769 is a deficient number, since it is larger than the sum of its proper divisors (110324351).

442704769 is a wasteful number, since it uses less digits than its factorization.

442704769 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 43.

The square root of 442704769 is about 21040.5505869024. The cubic root of 442704769 is about 762.1458107405.

The spelling of 442704769 in words is "four hundred forty-two million, seven hundred four thousand, seven hundred sixty-nine".

Divisors: 1 13 17 19 31 179 221 247 323 361 403 527 589 2327 3043 3401 4199 4693 5549 6137 6851 7657 10013 11191 39559 44213 57817 64619 72137 79781 94333 105431 130169 145483 190247 751621 840047 1098523 1226329 1370603 1792327 2003189 2473211 14280799 23300251 26041457 34054213 442704769