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42490338 = 23112321217
BaseRepresentation
bin1010001000010…
…1100111100010
32221221201210020
42202011213202
541334142323
64114414310
71024106352
oct242054742
987851706
1042490338
1121a91690
1212291396
138a59217
145900b62
153ae4ae3
hex28859e2

42490338 has 48 divisors (see below), whose sum is σ = 96991776. Its totient is φ = 12305920.

The previous prime is 42490337. The next prime is 42490417. The reversal of 42490338 is 83309424.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 42490299 and 42490308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42490333) 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, 34306 + ... + 35522.

It is an arithmetic number, because the mean of its divisors is an integer number (2020662).

Almost surely, 242490338 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42490338, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48495888).

42490338 is an abundant number, since it is smaller than the sum of its proper divisors (54501438).

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

42490338 is a wasteful number, since it uses less digits than its factorization.

42490338 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1279 (or 1256 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 42490338 is about 6518.4613215083. The cubic root of 42490338 is about 348.9501547574.

Adding to 42490338 its sum of digits (33), we get a triangular number (42490371 = T9218).

The spelling of 42490338 in words is "forty-two million, four hundred ninety thousand, three hundred thirty-eight".

Divisors: 1 2 3 6 11 22 23 33 46 66 69 138 253 506 529 759 1058 1217 1518 1587 2434 3174 3651 5819 7302 11638 13387 17457 26774 27991 34914 40161 55982 80322 83973 167946 307901 615802 643793 923703 1287586 1847406 1931379 3862758 7081723 14163446 21245169 42490338