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42435000 = 2332542341
BaseRepresentation
bin1010000111100…
…0000110111000
32221211220212200
42201320012320
541330410000
64113310200
71023456126
oct241700670
987756780
1042435000
1121a54053
1212265360
138a39c8a
1458c8916
153ad3500
hex28781b8

42435000 has 240 divisors, whose sum is σ = 153513360. Its totient is φ = 10560000.

The previous prime is 42434989. The next prime is 42435013. The reversal of 42435000 is 53424.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 59 ways as a sum of consecutive naturals, for example, 1034980 + ... + 1035020.

It is an arithmetic number, because the mean of its divisors is an integer number (639639).

Almost surely, 242435000 is an apocalyptic number.

42435000 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 42435000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76756680).

42435000 is an abundant number, since it is smaller than the sum of its proper divisors (111078360).

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

42435000 is a wasteful number, since it uses less digits than its factorization.

42435000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 42435000 is about 6514.2152251825. The cubic root of 42435000 is about 348.7986019289.

Adding to 42435000 its reverse (53424), we get a palindrome (42488424).

The spelling of 42435000 in words is "forty-two million, four hundred thirty-five thousand".