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42113808 = 24321122417
BaseRepresentation
bin1010000010100…
…1101100010000
32221020121021200
42200221230100
541240120213
64102351200
71020650532
oct240515420
987217250
1042113808
1121854800
121212b500
138956a19
145843852
153a6d273
hex2829b10

42113808 has 90 divisors (see below), whose sum is σ = 129602382. Its totient is φ = 12756480.

The previous prime is 42113801. The next prime is 42113831. The reversal of 42113808 is 80831124.

It can be written as a sum of positive squares in only one way, i.e., 41835024 + 278784 = 6468^2 + 528^2 .

It is not an unprimeable number, because it can be changed into a prime (42113801) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 16216 + ... + 18632.

Almost surely, 242113808 is an apocalyptic number.

42113808 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 42113808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64801191).

42113808 is an abundant number, since it is smaller than the sum of its proper divisors (87488574).

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

42113808 is a wasteful number, since it uses less digits than its factorization.

42113808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2453 (or 2433 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 42113808 is about 6489.5152361328. The cubic root of 42113808 is about 347.9163492955.

The spelling of 42113808 in words is "forty-two million, one hundred thirteen thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 121 132 144 176 198 242 264 363 396 484 528 726 792 968 1089 1452 1584 1936 2178 2417 2904 4356 4834 5808 7251 8712 9668 14502 17424 19336 21753 26587 29004 38672 43506 53174 58008 79761 87012 106348 116016 159522 174024 212696 239283 292457 319044 348048 425392 478566 584914 638088 877371 957132 1169828 1276176 1754742 1914264 2339656 2632113 3509484 3828528 4679312 5264226 7018968 10528452 14037936 21056904 42113808