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42269000 = 235343983
BaseRepresentation
bin1010000100111…
…1100101001000
32221112111011112
42201033211020
541310102000
64105545452
71022165144
oct241174510
987474145
1042269000
1121950364
12121a5288
1389ac557
145884224
153a9e235
hex284f948

42269000 has 64 divisors (see below), whose sum is σ = 101312640. Its totient is φ = 16497600.

The previous prime is 42268999. The next prime is 42269023. The reversal of 42269000 is 96224.

It is a super-2 number, since 2×422690002 = 3573336722000000, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 42509 + ... + 43491.

It is an arithmetic number, because the mean of its divisors is an integer number (1583010).

Almost surely, 242269000 is an apocalyptic number.

42269000 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 42269000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50656320).

42269000 is an abundant number, since it is smaller than the sum of its proper divisors (59043640).

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

42269000 is a wasteful number, since it uses less digits than its factorization.

42269000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1047 (or 1033 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 42269000 is about 6501.4613741835. The cubic root of 42269000 is about 348.3431898699.

The spelling of 42269000 in words is "forty-two million, two hundred sixty-nine thousand".

Divisors: 1 2 4 5 8 10 20 25 40 43 50 86 100 125 172 200 215 250 344 430 500 860 983 1000 1075 1720 1966 2150 3932 4300 4915 5375 7864 8600 9830 10750 19660 21500 24575 39320 42269 43000 49150 84538 98300 122875 169076 196600 211345 245750 338152 422690 491500 845380 983000 1056725 1690760 2113450 4226900 5283625 8453800 10567250 21134500 42269000