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442424244 = 223375916889
BaseRepresentation
bin11010010111101…
…101101110110100
31010211111110222010
4122113231232310
51401230033434
6111522404220
713651354413
oct3227555664
91124443863
10442424244
11207811979
12104200670
13708766c2
1442a8947a
1528c939e9
hex1a5edbb4

442424244 has 48 divisors (see below), whose sum is σ = 1078257600. Its totient is φ = 141048576.

The previous prime is 442424237. The next prime is 442424287.

442424244 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17752 + ... + 34640.

It is an arithmetic number, because the mean of its divisors is an integer number (22463700).

Almost surely, 2442424244 is an apocalyptic number.

It is an amenable number.

442424244 is an abundant number, since it is smaller than the sum of its proper divisors (635833356).

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

442424244 is a wasteful number, since it uses less digits than its factorization.

442424244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16992 (or 16990 counting only the distinct ones).

The product of its digits is 32768, while the sum is 30.

The square root of 442424244 is about 21033.8832363404. The cubic root of 442424244 is about 761.9847958885.

The spelling of 442424244 in words is "four hundred forty-two million, four hundred twenty-four thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 12 37 59 74 111 118 148 177 222 236 354 444 708 2183 4366 6549 8732 13098 16889 26196 33778 50667 67556 101334 202668 624893 996451 1249786 1874679 1992902 2499572 2989353 3749358 3985804 5978706 7498716 11957412 36868687 73737374 110606061 147474748 221212122 442424244