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42224040 = 23325532213
BaseRepresentation
bin1010000100010…
…0100110101000
32221110012111100
42201010212220
541302132130
64105001400
71021620105
oct241044650
987405440
1042224040
112191a601
1212183260
138994c51
145871aac
153a90c60
hex28449a8

42224040 has 96 divisors (see below), whose sum is σ = 139880520. Its totient is φ = 11042304.

The previous prime is 42224033. The next prime is 42224041. The reversal of 42224040 is 4042224.

42224040 is a `hidden beast` number, since 422 + 240 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 42224004 + 36 = 6498^2 + 6^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (42224041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17974 + ... + 20186.

Almost surely, 242224040 is an apocalyptic number.

42224040 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 42224040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69940260).

42224040 is an abundant number, since it is smaller than the sum of its proper divisors (97656480).

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

42224040 is a wasteful number, since it uses less digits than its factorization.

42224040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2283 (or 2276 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 42224040 is about 6498.0027700825. The cubic root of 42224040 is about 348.2196393880.

Adding to 42224040 its reverse (4042224), we get a palindrome (46266264).

The spelling of 42224040 in words is "forty-two million, two hundred twenty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 53 60 72 90 106 120 159 180 212 265 318 360 424 477 530 636 795 954 1060 1272 1590 1908 2120 2213 2385 3180 3816 4426 4770 6360 6639 8852 9540 11065 13278 17704 19080 19917 22130 26556 33195 39834 44260 53112 66390 79668 88520 99585 117289 132780 159336 199170 234578 265560 351867 398340 469156 586445 703734 796680 938312 1055601 1172890 1407468 1759335 2111202 2345780 2814936 3518670 4222404 4691560 5278005 7037340 8444808 10556010 14074680 21112020 42224040