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42335000 = 23548467
BaseRepresentation
bin1010000101111…
…1101100011000
32221122211200222
42201133230120
541314210000
64111215212
71022561441
oct241375430
987584628
1042335000
1121995a04
1212217508
138a035c6
1458a02c8
153ab3a85
hex285fb18

42335000 has 40 divisors (see below), whose sum is σ = 99202620. Its totient is φ = 16932000.

The previous prime is 42334987. The next prime is 42335009. The reversal of 42335000 is 53324.

42335000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 42335000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42335009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 767 + ... + 9233.

Almost surely, 242335000 is an apocalyptic number.

42335000 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 42335000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49601310).

42335000 is an abundant number, since it is smaller than the sum of its proper divisors (56867620).

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

42335000 is an equidigital number, since it uses as much as digits as its factorization.

42335000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8493 (or 8474 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 17.

The square root of 42335000 is about 6506.5351762670. The cubic root of 42335000 is about 348.5243998569.

Adding to 42335000 its reverse (53324), we get a palindrome (42388324).

The spelling of 42335000 in words is "forty-two million, three hundred thirty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 625 1000 1250 2500 5000 8467 16934 33868 42335 67736 84670 169340 211675 338680 423350 846700 1058375 1693400 2116750 4233500 5291875 8467000 10583750 21167500 42335000