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42435450 = 23252181521
BaseRepresentation
bin1010000111100…
…0001101111010
32221211221111100
42201320031322
541330413300
64113312230
71023460341
oct241701572
987757440
1042435450
1121a54422
1212265676
138a3a245
1458c8b58
153ad3700
hex287837a

42435450 has 72 divisors (see below), whose sum is σ = 114859836. Its totient is φ = 11232000.

The previous prime is 42435431. The next prime is 42435461. The reversal of 42435450 is 5453424.

42435450 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 1565001 + 40870449 = 1251^2 + 6393^2 .

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 81190 + ... + 81710.

Almost surely, 242435450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42435450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57429918).

42435450 is an abundant number, since it is smaller than the sum of its proper divisors (72424386).

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

42435450 is a wasteful number, since it uses less digits than its factorization.

42435450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 720 (or 712 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

The square root of 42435450 is about 6514.2497649384. The cubic root of 42435450 is about 348.7998348641.

Adding to 42435450 its reverse (5453424), we get a palindrome (47888874).

The spelling of 42435450 in words is "forty-two million, four hundred thirty-five thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 181 225 362 450 521 543 905 1042 1086 1563 1629 1810 2605 2715 3126 3258 4525 4689 5210 5430 7815 8145 9050 9378 13025 13575 15630 16290 23445 26050 27150 39075 40725 46890 78150 81450 94301 117225 188602 234450 282903 471505 565806 848709 943010 1414515 1697418 2357525 2829030 4243545 4715050 7072575 8487090 14145150 21217725 42435450