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42809536 = 2672111773
BaseRepresentation
bin1010001101001…
…1100011000000
32222112221122101
42203103203000
541424401121
64125320144
71026606100
oct243234300
988487571
1042809536
112218a490
1212406054
138b3b5b3
145985200
153b59491
hex28d38c0

42809536 has 168 divisors, whose sum is σ = 115708176. Its totient is φ = 15482880.

The previous prime is 42809497. The next prime is 42809537. The reversal of 42809536 is 63590824.

It is a junction number, because it is equal to n+sod(n) for n = 42809495 and 42809504.

It is not an unprimeable number, because it can be changed into a prime (42809537) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 586396 + ... + 586468.

Almost surely, 242809536 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42809536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57854088).

42809536 is an abundant number, since it is smaller than the sum of its proper divisors (72898640).

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

42809536 is a wasteful number, since it uses less digits than its factorization.

42809536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 37.

The square root of 42809536 is about 6542.8996629935. The cubic root of 42809536 is about 349.8217759283.

The spelling of 42809536 in words is "forty-two million, eight hundred nine thousand, five hundred thirty-six".