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42501375 = 335372257
BaseRepresentation
bin1010001000100…
…0010011111111
32221222021221000
42202020103333
541340021000
64114541343
71024153500
oct242102377
987867830
1042501375
1121a99a04
1212297853
138a61257
145904ba7
153ae8000
hex28884ff

42501375 has 96 divisors (see below), whose sum is σ = 91765440. Its totient is φ = 19353600.

The previous prime is 42501367. The next prime is 42501409. The reversal of 42501375 is 57310524.

It is a happy number.

42501375 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 42501375 - 23 = 42501367 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 165247 + ... + 165503.

It is an arithmetic number, because the mean of its divisors is an integer number (955890).

Almost surely, 242501375 is an apocalyptic number.

42501375 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

42501375 is an abundant number, since it is smaller than the sum of its proper divisors (49264065).

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

42501375 is a wasteful number, since it uses less digits than its factorization.

42501375 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 272 counting only the distinct ones).

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

The square root of 42501375 is about 6519.3078620357. The cubic root of 42501375 is about 348.9803657780.

Adding to 42501375 its reverse (57310524), we get a palindrome (99811899).

It can be divided in two parts, 4250 and 1375, that added together give a square (5625 = 752).

The spelling of 42501375 in words is "forty-two million, five hundred one thousand, three hundred seventy-five".

Divisors: 1 3 5 7 9 15 21 25 27 35 45 49 63 75 105 125 135 147 175 189 225 245 257 315 375 441 525 675 735 771 875 945 1125 1225 1285 1323 1575 1799 2205 2313 2625 3375 3675 3855 4725 5397 6125 6425 6615 6939 7875 8995 11025 11565 12593 16191 18375 19275 23625 26985 32125 33075 34695 37779 44975 48573 55125 57825 62965 80955 96375 113337 134925 165375 173475 188895 224875 242865 289125 314825 340011 404775 566685 674625 867375 944475 1214325 1574125 1700055 2023875 2833425 4722375 6071625 8500275 14167125 42501375