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442702240 = 25510326863
BaseRepresentation
bin11010011000110…
…001100110100000
31010212000121022021
4122120301212200
51401312432430
6111532351224
713653623041
oct3230614640
91125017267
10442702240
11207991822
12104315514
13709430b6
1442b1c8c8
1528ceb07a
hex1a6319a0

442702240 has 48 divisors (see below), whose sum is σ = 1056077568. Its totient is φ = 175355136.

The previous prime is 442702237. The next prime is 442702303. The reversal of 442702240 is 42207244.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3049 + ... + 29911.

It is an arithmetic number, because the mean of its divisors is an integer number (22001616).

Almost surely, 2442702240 is an apocalyptic number.

442702240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442702240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528038784).

442702240 is an abundant number, since it is smaller than the sum of its proper divisors (613375328).

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

442702240 is a wasteful number, since it uses less digits than its factorization.

442702240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26981 (or 26973 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 25.

The square root of 442702240 is about 21040.4904885794. The cubic root of 442702240 is about 762.1443594569.

Adding to 442702240 its reverse (42207244), we get a palindrome (484909484).

The spelling of 442702240 in words is "four hundred forty-two million, seven hundred two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 103 160 206 412 515 824 1030 1648 2060 3296 4120 8240 16480 26863 53726 107452 134315 214904 268630 429808 537260 859616 1074520 2149040 2766889 4298080 5533778 11067556 13834445 22135112 27668890 44270224 55337780 88540448 110675560 221351120 442702240