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42247008 = 25361811
BaseRepresentation
bin1010000100101…
…0001101100000
32221111101000000
42201022031200
541303401013
64105300000
71022044056
oct241121540
987441000
1042247008
1121935891
1212194600
1389a253b
14587a1d6
153a97973
hex284a360

42247008 has 84 divisors (see below), whose sum is σ = 124772508. Its totient is φ = 14074560.

The previous prime is 42247001. The next prime is 42247019. The reversal of 42247008 is 80074224.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42247001) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 22423 + ... + 24233.

It is an arithmetic number, because the mean of its divisors is an integer number (1485387).

Almost surely, 242247008 is an apocalyptic number.

42247008 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 42247008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62386254).

42247008 is an abundant number, since it is smaller than the sum of its proper divisors (82525500).

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

42247008 is an equidigital number, since it uses as much as digits as its factorization.

42247008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1839 (or 1816 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 42247008 is about 6499.7698420790. The cubic root of 42247008 is about 348.2827666092.

The spelling of 42247008 in words is "forty-two million, two hundred forty-seven thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 729 864 972 1296 1458 1811 1944 2592 2916 3622 3888 5433 5832 7244 7776 10866 11664 14488 16299 21732 23328 28976 32598 43464 48897 57952 65196 86928 97794 130392 146691 173856 195588 260784 293382 391176 440073 521568 586764 782352 880146 1173528 1320219 1564704 1760292 2347056 2640438 3520584 4694112 5280876 7041168 10561752 14082336 21123504 42247008