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442131240 = 233517216731
BaseRepresentation
bin11010010110100…
…110001100101000
31010210221121001010
4122112212030220
51401141144430
6111512223520
713646024235
oct3226461450
91123847033
10442131240
11207631821
1210409aba0
13707a3225
1442a1078c
1528c36cb0
hex1a5a6328

442131240 has 64 divisors (see below), whose sum is σ = 1404423360. Its totient is φ = 110965760.

The previous prime is 442131227. The next prime is 442131251. The reversal of 442131240 is 42131244.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 106326 + ... + 110405.

It is an arithmetic number, because the mean of its divisors is an integer number (21944115).

Almost surely, 2442131240 is an apocalyptic number.

442131240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

442131240 is an abundant number, since it is smaller than the sum of its proper divisors (962292120).

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

442131240 is a wasteful number, since it uses less digits than its factorization.

442131240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216762 (or 216758 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 442131240 is about 21026.9170350767. The cubic root of 442131240 is about 761.8165456916.

Adding to 442131240 its reverse (42131244), we get a palindrome (484262484).

The spelling of 442131240 in words is "four hundred forty-two million, one hundred thirty-one thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 204 255 340 408 510 680 1020 2040 216731 433462 650193 866924 1083655 1300386 1733848 2167310 2600772 3250965 3684427 4334620 5201544 6501930 7368854 8669240 11053281 13003860 14737708 18422135 22106562 26007720 29475416 36844270 44213124 55266405 73688540 88426248 110532810 147377080 221065620 442131240