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42036930 = 232513193161
BaseRepresentation
bin1010000001011…
…0111011000010
32221002200211100
42200112323002
541230140210
64100555230
71020210435
oct240267302
987080740
1042036930
1121801a71
12120b2b16
13892aa30
14582381c
153a555c0
hex2816ec2

42036930 has 192 divisors, whose sum is σ = 129991680. Its totient is φ = 9331200.

The previous prime is 42036919. The next prime is 42036989. The reversal of 42036930 is 3963024.

It is a junction number, because it is equal to n+sod(n) for n = 42036894 and 42036903.

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 95 ways as a sum of consecutive naturals, for example, 689100 + ... + 689160.

It is an arithmetic number, because the mean of its divisors is an integer number (677040).

Almost surely, 242036930 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42036930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64995840).

42036930 is an abundant number, since it is smaller than the sum of its proper divisors (87954750).

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

42036930 is a wasteful number, since it uses less digits than its factorization.

42036930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 42036930 is about 6483.5892837224. The cubic root of 42036930 is about 347.7045153282.

Adding to 42036930 its reverse (3963024), we get a palindrome (45999954).

The spelling of 42036930 in words is "forty-two million, thirty-six thousand, nine hundred thirty".