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42248448 = 2832111667
BaseRepresentation
bin1010000100101…
…0100100000000
32221111102222100
42201022210000
541303422243
64105310400
71022051214
oct241124400
987442870
1042248448
1121936980
1212195400
1389a30a8
14587a944
153a980d3
hex284a900

42248448 has 108 divisors (see below), whose sum is σ = 132966288. Its totient is φ = 12794880.

The previous prime is 42248399. The next prime is 42248449. The reversal of 42248448 is 84484224.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (42248449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24511 + ... + 26177.

Almost surely, 242248448 is an apocalyptic number.

42248448 is a gapful number since it is divisible by the number (48) 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 42248448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66483144).

42248448 is an abundant number, since it is smaller than the sum of its proper divisors (90717840).

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

42248448 is a wasteful number, since it uses less digits than its factorization.

42248448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1700 (or 1683 counting only the distinct ones).

The product of its digits is 65536, while the sum is 36.

The square root of 42248448 is about 6499.8806142882. The cubic root of 42248448 is about 348.2867236665.

The spelling of 42248448 in words is "forty-two million, two hundred forty-eight thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 128 132 144 176 192 198 256 264 288 352 384 396 528 576 704 768 792 1056 1152 1408 1584 1667 2112 2304 2816 3168 3334 4224 5001 6336 6668 8448 10002 12672 13336 15003 18337 20004 25344 26672 30006 36674 40008 53344 55011 60012 73348 80016 106688 110022 120024 146696 160032 165033 213376 220044 240048 293392 320064 330066 426752 440088 480096 586784 640128 660132 880176 960192 1173568 1280256 1320264 1760352 1920384 2347136 2640528 3520704 3840768 4694272 5281056 7041408 10562112 14082816 21124224 42248448