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442044500 = 22531923179
BaseRepresentation
bin11010010110010…
…001000001010100
31010210210012001112
4122112101001110
51401130411000
6111510314152
713645213322
oct3226210124
91123705045
10442044500
11207582637
12104058958
13707728c1
14429cad12
1528c1b235
hex1a591054

442044500 has 144 divisors (see below), whose sum is σ = 1065093120. Its totient is φ = 160056000.

The previous prime is 442044487. The next prime is 442044503. The reversal of 442044500 is 5440244.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442044503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5595461 + ... + 5595539.

It is an arithmetic number, because the mean of its divisors is an integer number (7396480).

Almost surely, 2442044500 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 442044500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532546560).

442044500 is an abundant number, since it is smaller than the sum of its proper divisors (623048620).

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

442044500 is a wasteful number, since it uses less digits than its factorization.

442044500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 23.

The square root of 442044500 is about 21024.8543395668. The cubic root of 442044500 is about 761.7667231631.

Adding to 442044500 its reverse (5440244), we get a palindrome (447484744).

The spelling of 442044500 in words is "four hundred forty-two million, forty-four thousand, five hundred".

Divisors: 1 2 4 5 10 19 20 25 31 38 50 62 76 79 95 100 124 125 155 158 190 250 310 316 361 380 395 475 500 589 620 722 775 790 950 1178 1444 1501 1550 1580 1805 1900 1975 2356 2375 2449 2945 3002 3100 3610 3875 3950 4750 4898 5890 6004 7220 7505 7750 7900 9025 9500 9796 9875 11191 11780 12245 14725 15010 15500 18050 19750 22382 24490 28519 29450 30020 36100 37525 39500 44764 45125 46531 48980 55955 57038 58900 61225 73625 75050 90250 93062 111910 114076 122450 142595 147250 150100 180500 186124 187625 223820 232655 244900 279775 285190 294500 306125 375250 465310 559550 570380 612250 712975 750500 884089 930620 1119100 1163275 1224500 1398875 1425950 1768178 2326550 2797750 2851900 3536356 3564875 4420445 4653100 5595500 5816375 7129750 8840890 11632750 14259500 17681780 22102225 23265500 44204450 88408900 110511125 221022250 442044500