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42422240 = 25573773
BaseRepresentation
bin1010000111010…
…0111111100000
32221211021101002
42201310333200
541330002430
64113131132
71023404000
oct241647740
987737332
1042422240
1121a45503
1212259aa8
138a34223
1458c4000
153ace845
hex2874fe0

42422240 has 96 divisors (see below), whose sum is σ = 117028800. Its totient is φ = 14525952.

The previous prime is 42422227. The next prime is 42422243. The reversal of 42422240 is 4222424.

42422240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42422243) 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, 54494 + ... + 55266.

It is an arithmetic number, because the mean of its divisors is an integer number (1219050).

Almost surely, 242422240 is an apocalyptic number.

42422240 is a gapful number since it is divisible by the number (40) 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 42422240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58514400).

42422240 is an abundant number, since it is smaller than the sum of its proper divisors (74606560).

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

42422240 is an equidigital number, since it uses as much as digits as its factorization.

42422240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 809 (or 787 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

The square root of 42422240 is about 6513.2357549838. The cubic root of 42422240 is about 348.7636377379.

Adding to 42422240 its reverse (4222424), we get a palindrome (46644664).

The spelling of 42422240 in words is "forty-two million, four hundred twenty-two thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 70 80 98 112 140 160 196 224 245 280 343 392 490 560 686 773 784 980 1120 1372 1546 1568 1715 1960 2744 3092 3430 3865 3920 5411 5488 6184 6860 7730 7840 10822 10976 12368 13720 15460 21644 24736 27055 27440 30920 37877 43288 54110 54880 61840 75754 86576 108220 123680 151508 173152 189385 216440 265139 303016 378770 432880 530278 606032 757540 865760 1060556 1212064 1325695 1515080 2121112 2651390 3030160 4242224 5302780 6060320 8484448 10605560 21211120 42422240