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442448840 = 23511061221
BaseRepresentation
bin11010010111110…
…011101111001000
31010211112201201002
4122113303233020
51401231330330
6111523114132
713651516211
oct3227635710
91124481632
10442448840
112078293a9
12104212948
1370884962
1442a94408
1528c9ae45
hex1a5f3bc8

442448840 has 16 divisors (see below), whose sum is σ = 995509980. Its totient is φ = 176979520.

The previous prime is 442448837. The next prime is 442448843. The reversal of 442448840 is 48844244.

It is an interprime number because it is at equal distance from previous prime (442448837) and next prime (442448843).

It can be written as a sum of positive squares in 2 ways, for example, as 385808164 + 56640676 = 19642^2 + 7526^2 .

It is a junction number, because it is equal to n+sod(n) for n = 442448794 and 442448803.

It is not an unprimeable number, because it can be changed into a prime (442448843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5530571 + ... + 5530650.

Almost surely, 2442448840 is an apocalyptic number.

442448840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

442448840 is an abundant number, since it is smaller than the sum of its proper divisors (553061140).

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

442448840 is a wasteful number, since it uses less digits than its factorization.

442448840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11061232 (or 11061228 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 38.

The square root of 442448840 is about 21034.4679038953. The cubic root of 442448840 is about 761.9989161444.

The spelling of 442448840 in words is "four hundred forty-two million, four hundred forty-eight thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 20 40 11061221 22122442 44244884 55306105 88489768 110612210 221224420 442448840