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42050034 = 23213712531
BaseRepresentation
bin1010000001101…
…0000111110010
32221010100210200
42200122013302
541231100114
64101140030
71020263565
oct240320762
987110720
1042050034
11218108a4
12120ba616
1389339a0
1458284dc
153a59409
hex281a1f2

42050034 has 48 divisors (see below), whose sum is σ = 99537984. Its totient is φ = 12751200.

The previous prime is 42049991. The next prime is 42050039. The reversal of 42050034 is 43005024.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 42049989 and 42050016.

It is not an unprimeable number, because it can be changed into a prime (42050039) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 15349 + ... + 17879.

It is an arithmetic number, because the mean of its divisors is an integer number (2073708).

Almost surely, 242050034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42050034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49768992).

42050034 is an abundant number, since it is smaller than the sum of its proper divisors (57487950).

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

42050034 is a wasteful number, since it uses less digits than its factorization.

42050034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2623 (or 2620 counting only the distinct ones).

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

The square root of 42050034 is about 6484.5997563458. The cubic root of 42050034 is about 347.7406410761.

Adding to 42050034 its reverse (43005024), we get a palindrome (85055058).

The spelling of 42050034 in words is "forty-two million, fifty thousand, thirty-four", and thus it is an eban number.

Divisors: 1 2 3 6 9 13 18 26 39 71 78 117 142 213 234 426 639 923 1278 1846 2531 2769 5062 5538 7593 8307 15186 16614 22779 32903 45558 65806 98709 179701 197418 296127 359402 539103 592254 1078206 1617309 2336113 3234618 4672226 7008339 14016678 21025017 42050034