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42352338 = 23717232579
BaseRepresentation
bin1010000110001…
…1111011010010
32221200201111010
42201203323102
541320233323
64111431350
71022663130
oct241437322
987621433
1042352338
11219a7a36
1212225556
138a0b472
1458a6750
153ab8c93
hex2863ed2

42352338 has 64 divisors (see below), whose sum is σ = 106997760. Its totient is φ = 10889472.

The previous prime is 42352319. The next prime is 42352339. The reversal of 42352338 is 83325324.

42352338 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a plaindrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (42352339) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 15133 + ... + 17711.

It is an arithmetic number, because the mean of its divisors is an integer number (1671840).

Almost surely, 242352338 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42352338, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53498880).

42352338 is an abundant number, since it is smaller than the sum of its proper divisors (64645422).

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

42352338 is a wasteful number, since it uses less digits than its factorization.

42352338 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2631.

The product of its digits is 17280, while the sum is 30.

The square root of 42352338 is about 6507.8673926256. The cubic root of 42352338 is about 348.5719719313.

It can be divided in two parts, 42 and 352338, that added together give a triangular number (352380 = T839).

The spelling of 42352338 in words is "forty-two million, three hundred fifty-two thousand, three hundred thirty-eight".

Divisors: 1 2 3 6 7 14 17 21 23 34 42 46 51 69 102 119 138 161 238 322 357 391 483 714 782 966 1173 2346 2579 2737 5158 5474 7737 8211 15474 16422 18053 36106 43843 54159 59317 87686 108318 118634 131529 177951 263058 306901 355902 415219 613802 830438 920703 1008389 1245657 1841406 2016778 2491314 3025167 6050334 7058723 14117446 21176169 42352338