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442555740 = 22325111012213
BaseRepresentation
bin11010011000001…
…101110101011100
31010211202011100100
4122120031311130
51401243240430
6111525301100
713652442654
oct3230156534
91124664310
10442555740
112078a1750
12104264790
13708c1503
1442ac1364
1528cbc960
hex1a60dd5c

442555740 has 144 divisors (see below), whose sum is σ = 1479625056. Its totient is φ = 106176000.

The previous prime is 442555739. The next prime is 442555759. The reversal of 442555740 is 47555244.

It is a happy number.

442555740 is a `hidden beast` number, since 44 + 25 + 557 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 442555695 and 442555704.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 198874 + ... + 201086.

It is an arithmetic number, because the mean of its divisors is an integer number (10275174).

Almost surely, 2442555740 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442555740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (739812528).

442555740 is an abundant number, since it is smaller than the sum of its proper divisors (1037069316).

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

442555740 is a wasteful number, since it uses less digits than its factorization.

442555740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2340 (or 2335 counting only the distinct ones).

The product of its (nonzero) digits is 112000, while the sum is 36.

The square root of 442555740 is about 21037.0088177954. The cubic root of 442555740 is about 762.0602800185.

The spelling of 442555740 in words is "four hundred forty-two million, five hundred fifty-five thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 101 110 132 165 180 198 202 220 303 330 396 404 495 505 606 660 909 990 1010 1111 1212 1515 1818 1980 2020 2213 2222 3030 3333 3636 4426 4444 4545 5555 6060 6639 6666 8852 9090 9999 11065 11110 13278 13332 16665 18180 19917 19998 22130 22220 24343 26556 33195 33330 39834 39996 44260 48686 49995 66390 66660 73029 79668 97372 99585 99990 121715 132780 146058 199170 199980 219087 223513 243430 292116 365145 398340 438174 447026 486860 670539 730290 876348 894052 1095435 1117565 1341078 1460580 2011617 2190870 2235130 2458643 2682156 3352695 4023234 4381740 4470260 4917286 6705390 7375929 8046468 9834572 10058085 12293215 13410780 14751858 20116170 22127787 24586430 29503716 36879645 40232340 44255574 49172860 73759290 88511148 110638935 147518580 221277870 442555740