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42424000 = 26535303
BaseRepresentation
bin1010000111010…
…1011011000000
32221211100210021
42201311123000
541330032000
64113143224
71023412063
oct241653300
987740707
1042424000
1121a46863
121225ab14
138a34c78
1458c48da
153ad011a
hex28756c0

42424000 has 56 divisors (see below), whose sum is σ = 105082848. Its totient is φ = 16966400.

The previous prime is 42423977. The next prime is 42424001. The reversal of 42424000 is 42424.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (42424001) by changing a digit.

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, 5349 + ... + 10651.

Almost surely, 242424000 is an apocalyptic number.

42424000 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 42424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52541424).

42424000 is an abundant number, since it is smaller than the sum of its proper divisors (62658848).

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

42424000 is an equidigital number, since it uses as much as digits as its factorization.

42424000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5330 (or 5310 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 42424000 is about 6513.3708630785. The cubic root of 42424000 is about 348.7684608017.

Adding to 42424000 its reverse (42424), we get a palindrome (42466424).

42424000 divided by its reverse (42424) gives a cube (1000 = 103).

The spelling of 42424000 in words is "forty-two million, four hundred twenty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 800 1000 1600 2000 4000 5303 8000 10606 21212 26515 42424 53030 84848 106060 132575 169696 212120 265150 339392 424240 530300 662875 848480 1060600 1325750 1696960 2121200 2651500 4242400 5303000 8484800 10606000 21212000 42424000