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42269568 = 2731110007
BaseRepresentation
bin1010000100111…
…1101110000000
32221112111221120
42201033232000
541310111233
64105552240
71022166615
oct241175600
987474846
1042269568
1121950830
12121a5680
1389ac8a3
14588450c
153a9e4b3
hex284fb80

42269568 has 64 divisors (see below), whose sum is σ = 122497920. Its totient is φ = 12807680.

The previous prime is 42269543. The next prime is 42269621. The reversal of 42269568 is 86596224.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 780 + ... + 9227.

It is an arithmetic number, because the mean of its divisors is an integer number (1914030).

Almost surely, 242269568 is an apocalyptic number.

42269568 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 42269568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61248960).

42269568 is an abundant number, since it is smaller than the sum of its proper divisors (80228352).

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

42269568 is a wasteful number, since it uses less digits than its factorization.

42269568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10035 (or 10023 counting only the distinct ones).

The product of its digits is 207360, while the sum is 42.

The square root of 42269568 is about 6501.5050565235. The cubic root of 42269568 is about 348.3447501784.

The spelling of 42269568 in words is "forty-two million, two hundred sixty-nine thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 264 352 384 528 704 1056 1408 2112 4224 10007 20014 30021 40028 60042 80056 110077 120084 160112 220154 240168 320224 330231 440308 480336 640448 660462 880616 960672 1280896 1320924 1761232 1921344 2641848 3522464 3842688 5283696 7044928 10567392 14089856 21134784 42269568