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442249794 = 23574379
BaseRepresentation
bin11010010111000…
…011001001000010
31010211011121200000
4122113003021002
51401203443134
6111514540430
713650030000
oct3227031102
91124147600
10442249794
112077028a8
12104137716
137081518c
1442a41a70
1528c5be99
hex1a5c3242

442249794 has 120 divisors (see below), whose sum is σ = 1162302960. Its totient is φ = 126023688.

The previous prime is 442249793. The next prime is 442249859. The reversal of 442249794 is 497942244.

It is not an unprimeable number, because it can be changed into a prime (442249793) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1166697 + ... + 1167075.

It is an arithmetic number, because the mean of its divisors is an integer number (9685858).

Almost surely, 2442249794 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442249794, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (581151480).

442249794 is an abundant number, since it is smaller than the sum of its proper divisors (720053166).

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

442249794 is an frugal number, since it uses more digits than its factorization.

442249794 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424 (or 391 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 442249794 is about 21029.7359469871. The cubic root of 442249794 is about 761.8846313031.

The spelling of 442249794 in words is "four hundred forty-two million, two hundred forty-nine thousand, seven hundred ninety-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 81 98 126 147 162 189 243 294 343 378 379 441 486 567 686 758 882 1029 1134 1137 1323 1701 2058 2274 2401 2646 2653 3087 3402 3411 3969 4802 5306 6174 6822 7203 7938 7959 9261 10233 11907 14406 15918 18522 18571 20466 21609 23814 23877 27783 30699 37142 43218 47754 55566 55713 61398 64827 71631 83349 92097 111426 129654 129997 143262 166698 167139 184194 194481 214893 259994 334278 388962 389991 429786 501417 583443 644679 779982 909979 1002834 1166886 1169973 1289358 1504251 1819958 2339946 2729937 3008502 3509919 4512753 5459874 7019838 8189811 9025506 10529757 16379622 21059514 24569433 31589271 49138866 63178542 73708299 147416598 221124897 442249794