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442719 = 3319863
BaseRepresentation
bin1101100000101011111
3211111022000
41230011133
5103131334
613253343
73522504
oct1540537
9744260
10442719
11282692
12194253
13126684
14b74ab
158b299
hex6c15f

442719 has 16 divisors (see below), whose sum is σ = 691200. Its totient is φ = 279288.

The previous prime is 442703. The next prime is 442721. The reversal of 442719 is 917244.

It is a happy number.

It is not a de Polignac number, because 442719 - 24 = 442703 is a prime.

It is a super-2 number, since 2×4427192 = 392000225922, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 442692 and 442701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82 + ... + 944.

It is an arithmetic number, because the mean of its divisors is an integer number (43200).

2442719 is an apocalyptic number.

442719 is a deficient number, since it is larger than the sum of its proper divisors (248481).

442719 is a wasteful number, since it uses less digits than its factorization.

442719 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 891 (or 885 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 442719 is about 665.3713249006. The cubic root of 442719 is about 76.2153977192.

The spelling of 442719 in words is "four hundred forty-two thousand, seven hundred nineteen".

Divisors: 1 3 9 19 27 57 171 513 863 2589 7767 16397 23301 49191 147573 442719