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42535170 = 23252943379
BaseRepresentation
bin1010001001000…
…0100100000010
32222001000021200
42202100210002
541342111140
64115402030
71024354146
oct242204402
988030250
1042535170
1122012337
12122b3316
138a73752
145913226
153b03030
hex2890902

42535170 has 96 divisors (see below), whose sum is σ = 117374400. Its totient is φ = 10668672.

The previous prime is 42535169. The next prime is 42535187. The reversal of 42535170 is 7153524.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 112041 + ... + 112419.

It is an arithmetic number, because the mean of its divisors is an integer number (1222650).

Almost surely, 242535170 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42535170, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58687200).

42535170 is an abundant number, since it is smaller than the sum of its proper divisors (74839230).

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

42535170 is a wasteful number, since it uses less digits than its factorization.

42535170 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 42535170 is about 6521.8992632515. The cubic root of 42535170 is about 349.0728386050.

Adding to 42535170 its reverse (7153524), we get a palindrome (49688694).

The spelling of 42535170 in words is "forty-two million, five hundred thirty-five thousand, one hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 29 30 43 45 58 86 87 90 129 145 174 215 258 261 290 379 387 430 435 522 645 758 774 870 1137 1247 1290 1305 1895 1935 2274 2494 2610 3411 3741 3790 3870 5685 6235 6822 7482 10991 11223 11370 12470 16297 17055 18705 21982 22446 32594 32973 34110 37410 48891 54955 56115 65946 81485 97782 98919 109910 112230 146673 162970 164865 197838 244455 293346 329730 472613 488910 494595 733365 945226 989190 1417839 1466730 2363065 2835678 4253517 4726130 7089195 8507034 14178390 21267585 42535170