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442240840 = 23520295449
BaseRepresentation
bin11010010111000…
…000111101001000
31010211011011101101
4122113000331020
51401203201330
6111514431144
713646661616
oct3227007510
91124134341
10442240840
112076a70a8
121041324b4
1370811092
1442a3c6b6
1528c594ca
hex1a5c0f48

442240840 has 32 divisors (see below), whose sum is σ = 995715000. Its totient is φ = 176776704.

The previous prime is 442240819. The next prime is 442240859. The reversal of 442240840 is 48042244.

It can be written as a sum of positive squares in 4 ways, for example, as 391802436 + 50438404 = 19794^2 + 7102^2 .

It is a junction number, because it is equal to n+sod(n) for n = 442240799 and 442240808.

It is an unprimeable number.

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, 78436 + ... + 83884.

Almost surely, 2442240840 is an apocalyptic number.

442240840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

442240840 is an abundant number, since it is smaller than the sum of its proper divisors (553474160).

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

442240840 is a wasteful number, since it uses less digits than its factorization.

442240840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7489 (or 7485 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 28.

The square root of 442240840 is about 21029.5230568836. The cubic root of 442240840 is about 761.8794894420.

The spelling of 442240840 in words is "four hundred forty-two million, two hundred forty thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 20 40 2029 4058 5449 8116 10145 10898 16232 20290 21796 27245 40580 43592 54490 81160 108980 217960 11056021 22112042 44224084 55280105 88448168 110560210 221120420 442240840