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442131020 = 225151281521
BaseRepresentation
bin11010010110100…
…110001001001100
31010210221120201222
4122112212021030
51401141143040
6111512222512
713646023502
oct3226461114
91123846658
10442131020
11207631641
1210409aa38
13707a30b6
1442a10672
1528c36bb5
hex1a5a624c

442131020 has 48 divisors (see below), whose sum is σ = 939750336. Its totient is φ = 174720000.

The previous prime is 442131017. The next prime is 442131029. The reversal of 442131020 is 20131244.

It is a self number, because there is not a number n which added to its sum of digits gives 442131020.

It is not an unprimeable number, because it can be changed into a prime (442131029) by changing a digit.

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, 848360 + ... + 848880.

It is an arithmetic number, because the mean of its divisors is an integer number (19578132).

Almost surely, 2442131020 is an apocalyptic number.

It is an amenable number.

442131020 is an abundant number, since it is smaller than the sum of its proper divisors (497619316).

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

442131020 is a wasteful number, since it uses less digits than its factorization.

442131020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 962 (or 960 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 442131020 is about 21026.9118036862. The cubic root of 442131020 is about 761.8164193342.

Adding to 442131020 its reverse (20131244), we get a palindrome (462262264).

The spelling of 442131020 in words is "four hundred forty-two million, one hundred thirty-one thousand, twenty".

Divisors: 1 2 4 5 10 20 151 281 302 521 562 604 755 1042 1124 1405 1510 2084 2605 2810 3020 5210 5620 10420 42431 78671 84862 146401 157342 169724 212155 292802 314684 393355 424310 585604 732005 786710 848620 1464010 1573420 2928020 22106551 44213102 88426204 110532755 221065510 442131020