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442823094 = 232722383263
BaseRepresentation
bin11010011001001…
…111000110110110
31010212020202002100
4122121033012312
51401330314334
6111535122530
713654635300
oct3231170666
91125222070
10442823094
11207a645aa
12104373446
13709860cc
1442b50970
1528d21c99
hex1a64f1b6

442823094 has 144 divisors (see below), whose sum is σ = 1183133952. Its totient is φ = 119107296.

The previous prime is 442823081. The next prime is 442823111. The reversal of 442823094 is 490328244.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1683607 + ... + 1683869.

It is an arithmetic number, because the mean of its divisors is an integer number (8216208).

Almost surely, 2442823094 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442823094, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (591566976).

442823094 is an abundant number, since it is smaller than the sum of its proper divisors (740310858).

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

442823094 is a wasteful number, since it uses less digits than its factorization.

442823094 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 442823094 is about 21043.3622313546. The cubic root of 442823094 is about 762.2137061538.

The spelling of 442823094 in words is "four hundred forty-two million, eight hundred twenty-three thousand, ninety-four".

Divisors: 1 2 3 6 7 9 14 18 21 23 42 46 49 63 69 83 98 126 138 147 161 166 207 249 263 294 322 414 441 483 498 526 581 747 789 882 966 1127 1162 1449 1494 1578 1743 1841 1909 2254 2367 2898 3381 3486 3682 3818 4067 4734 5229 5523 5727 6049 6762 8134 10143 10458 11046 11454 12098 12201 12887 13363 16569 17181 18147 20286 21829 24402 25774 26726 33138 34362 36294 36603 38661 40089 42343 43658 54441 65487 73206 77322 80178 84686 93541 108882 115983 120267 127029 130974 152803 187082 196461 231966 240534 254058 280623 296401 305606 381087 392922 458409 502067 561246 592802 762174 841869 889203 916818 1004134 1069621 1375227 1506201 1683738 1778406 2139242 2667609 2750454 3012402 3208863 3514469 4518603 5335218 6417726 7028938 9037206 9626589 10543407 19253178 21086814 24601283 31630221 49202566 63260442 73803849 147607698 221411547 442823094