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442045520 = 2457789367
BaseRepresentation
bin11010010110010…
…001010001010000
31010210210020110022
4122112101101100
51401130424040
6111510323012
713645216310
oct3226212120
91123706408
10442045520
11207583384
12104059468
13707731c7
14429cb440
1528c1b6b5
hex1a591450

442045520 has 40 divisors (see below), whose sum is σ = 1174579584. Its totient is φ = 151558272.

The previous prime is 442045501. The next prime is 442045531. The reversal of 442045520 is 25540244.

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 442045520.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 394124 + ... + 395243.

Almost surely, 2442045520 is an apocalyptic number.

442045520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

442045520 is an abundant number, since it is smaller than the sum of its proper divisors (732534064).

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

442045520 is a wasteful number, since it uses less digits than its factorization.

442045520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 789387 (or 789381 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 26.

The square root of 442045520 is about 21024.8785965579. The cubic root of 442045520 is about 761.7673090781.

Adding to 442045520 its reverse (25540244), we get a palindrome (467585764).

The spelling of 442045520 in words is "four hundred forty-two million, forty-five thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 789367 1578734 3157468 3946835 5525569 6314936 7893670 11051138 12629872 15787340 22102276 27627845 31574680 44204552 55255690 63149360 88409104 110511380 221022760 442045520