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442522002 = 231317267293
BaseRepresentation
bin11010011000000…
…101100110010010
31010211200110001210
4122120011212102
51401241201002
6111524440550
713652242416
oct3230054622
91124613053
10442522002
1120787936a
12104249156
13708ac050
1442ab2d46
1528cb296c
hex1a605992

442522002 has 96 divisors (see below), whose sum is σ = 1031107392. Its totient is φ = 125807616.

The previous prime is 442521997. The next prime is 442522009. The reversal of 442522002 is 200225244.

It is a self number, because there is not a number n which added to its sum of digits gives 442522002.

It is not an unprimeable number, because it can be changed into a prime (442522009) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1510168 + ... + 1510460.

It is an arithmetic number, because the mean of its divisors is an integer number (10740702).

Almost surely, 2442522002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442522002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515553696).

442522002 is an abundant number, since it is smaller than the sum of its proper divisors (588585390).

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

442522002 is a wasteful number, since it uses less digits than its factorization.

442522002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 21.

The square root of 442522002 is about 21036.2069299577. The cubic root of 442522002 is about 762.0409144405.

Adding to 442522002 its reverse (200225244), we get a palindrome (642747246).

The spelling of 442522002 in words is "four hundred forty-two million, five hundred twenty-two thousand, two".

Divisors: 1 2 3 6 13 17 26 34 39 51 67 78 102 134 201 221 289 293 402 442 578 586 663 867 871 879 1139 1326 1734 1742 1758 2278 2613 3417 3757 3809 4981 5226 6834 7514 7618 9962 11271 11427 14807 14943 19363 19631 22542 22854 29614 29886 38726 39262 44421 58089 58893 64753 84677 88842 116178 117786 129506 169354 194259 251719 254031 255203 333727 388518 503438 508062 510406 667454 755157 765609 1001181 1100801 1510314 1531218 2002362 2201602 3302403 4338451 5673359 6604806 8676902 11346718 13015353 17020077 26030706 34040154 73753667 147507334 221261001 442522002