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1442857460 = 2251119932957
BaseRepresentation
bin101011000000000…
…0100000111110100
310201112222202100012
41112000010013310
510423332414320
6355101235352
750520041342
oct12600040764
93645882305
101442857460
11680501190
12343262b58
1319cc05b15
14d98aa992
1586a0d4c5
hex560041f4

1442857460 has 48 divisors (see below), whose sum is σ = 3322166400. Its totient is φ = 522023040.

The previous prime is 1442857453. The next prime is 1442857489. The reversal of 1442857460 is 647582441.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27302 + ... + 60258.

It is an arithmetic number, because the mean of its divisors is an integer number (69211800).

Almost surely, 21442857460 is an apocalyptic number.

1442857460 is a gapful number since it is divisible by the number (10) 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 1442857460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1661083200).

1442857460 is an abundant number, since it is smaller than the sum of its proper divisors (1879308940).

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

1442857460 is a wasteful number, since it uses less digits than its factorization.

1442857460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33176 (or 33174 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 41.

The square root of 1442857460 is about 37984.9636040368. The cubic root of 1442857460 is about 1129.9896780324.

The spelling of 1442857460 in words is "one billion, four hundred forty-two million, eight hundred fifty-seven thousand, four hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 199 220 398 796 995 1990 2189 3980 4378 8756 10945 21890 32957 43780 65914 131828 164785 329570 362527 659140 725054 1450108 1812635 3625270 6558443 7250540 13116886 26233772 32792215 65584430 72142873 131168860 144285746 288571492 360714365 721428730 1442857460