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442565244 = 2232112101599
BaseRepresentation
bin11010011000010…
…000001001111100
31010211202122101100
4122120100021330
51401244041434
6111525413100
713652512452
oct3230201174
91124678340
10442565244
112078a8900
1210426a190
13708c5934
1442ac49d2
1528cc0699
hex1a61027c

442565244 has 54 divisors (see below), whose sum is σ = 1229664800. Its totient is φ = 134109360.

The previous prime is 442565243. The next prime is 442565257.

442565244 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 442565199 and 442565208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442565243) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 46444 + ... + 55155.

Almost surely, 2442565244 is an apocalyptic number.

442565244 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

442565244 is an abundant number, since it is smaller than the sum of its proper divisors (787099556).

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

442565244 is a wasteful number, since it uses less digits than its factorization.

442565244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101631 (or 101615 counting only the distinct ones).

The product of its digits is 153600, while the sum is 36.

The square root of 442565244 is about 21037.2347042096. The cubic root of 442565244 is about 762.0657351272.

The spelling of 442565244 in words is "four hundred forty-two million, five hundred sixty-five thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 132 198 242 363 396 484 726 1089 1452 2178 4356 101599 203198 304797 406396 609594 914391 1117589 1219188 1828782 2235178 3352767 3657564 4470356 6705534 10058301 12293479 13411068 20116602 24586958 36880437 40233204 49173916 73760874 110641311 147521748 221282622 442565244