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442428804 = 22344193259
BaseRepresentation
bin11010010111101…
…110110110000100
31010211111201020000
4122113232312010
51401230210204
6111522441300
713651403616
oct3227566604
91124451200
10442428804
11207815344
12104203230
13708787bc
1442a8adb6
1528c95039
hex1a5eed84

442428804 has 60 divisors (see below), whose sum is σ = 1159712400. Its totient is φ = 147079152.

The previous prime is 442428803. The next prime is 442428823. The reversal of 442428804 is 408824244.

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

It is not an unprimeable number, because it can be changed into a prime (442428803) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 134127 + ... + 137385.

It is an arithmetic number, because the mean of its divisors is an integer number (19328540).

Almost surely, 2442428804 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442428804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579856200).

442428804 is an abundant number, since it is smaller than the sum of its proper divisors (717283596).

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

442428804 is a wasteful number, since it uses less digits than its factorization.

442428804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3694 (or 3683 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 36.

The square root of 442428804 is about 21033.9916325932. The cubic root of 442428804 is about 761.9874137669.

The spelling of 442428804 in words is "four hundred forty-two million, four hundred twenty-eight thousand, eight hundred four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 419 838 1257 1676 2514 3259 3771 5028 6518 7542 9777 11313 13036 15084 19554 22626 29331 33939 39108 45252 58662 67878 87993 117324 135756 175986 263979 351972 527958 1055916 1365521 2731042 4096563 5462084 8193126 12289689 16386252 24579378 36869067 49158756 73738134 110607201 147476268 221214402 442428804