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442522040 = 235107103393
BaseRepresentation
bin11010011000000…
…101100110111000
31010211200110010012
4122120011212320
51401241201130
6111524441052
713652242502
oct3230054670
91124613105
10442522040
112078793a4
12104249188
13708ac07c
1442ab2d72
1528cb2995
hex1a6059b8

442522040 has 32 divisors (see below), whose sum is σ = 1004989680. Its totient is φ = 175352832.

The previous prime is 442522039. The next prime is 442522043. The reversal of 442522040 is 40225244.

It is a junction number, because it is equal to n+sod(n) for n = 442521997 and 442522015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442522043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47417 + ... + 55976.

Almost surely, 2442522040 is an apocalyptic number.

442522040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

442522040 is an abundant number, since it is smaller than the sum of its proper divisors (562467640).

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

442522040 is a wasteful number, since it uses less digits than its factorization.

442522040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103511 (or 103507 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 23.

The square root of 442522040 is about 21036.2078331623. The cubic root of 442522040 is about 762.0409362530.

Adding to 442522040 its reverse (40225244), we get a palindrome (482747284).

The spelling of 442522040 in words is "four hundred forty-two million, five hundred twenty-two thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 107 214 428 535 856 1070 2140 4280 103393 206786 413572 516965 827144 1033930 2067860 4135720 11063051 22126102 44252204 55315255 88504408 110630510 221261020 442522040