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42442382560 = 255638941519
BaseRepresentation
bin100111100001110000…
…110101110011100000
311001112212211102111211
4213201300311303200
51143410222220220
631255303315504
73031522204444
oct474160656340
9131485742454
1042442382560
1116aaa689226
128285a4bb94
13400508a346
1420a8b00824
151186130b5a
hex9e1c35ce0

42442382560 has 48 divisors (see below), whose sum is σ = 100288238400. Its totient is φ = 16973886976.

The previous prime is 42442382537. The next prime is 42442382569. The reversal of 42442382560 is 6528324424.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42442382569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1001481 + ... + 1042999.

It is an arithmetic number, because the mean of its divisors is an integer number (2089338300).

Almost surely, 242442382560 is an apocalyptic number.

42442382560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42442382560 is an abundant number, since it is smaller than the sum of its proper divisors (57845855840).

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

42442382560 is a wasteful number, since it uses less digits than its factorization.

42442382560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47923 (or 47915 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 40.

The spelling of 42442382560 in words is "forty-two billion, four hundred forty-two million, three hundred eighty-two thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 6389 12778 25556 31945 41519 51112 63890 83038 102224 127780 166076 204448 207595 255560 332152 415190 511120 664304 830380 1022240 1328608 1660760 3321520 6643040 265264891 530529782 1061059564 1326324455 2122119128 2652648910 4244238256 5305297820 8488476512 10610595640 21221191280 42442382560