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42595875 = 34537601
BaseRepresentation
bin1010001001111…
…1011000100011
32222011002120000
42202133120203
541401032000
64120551043
71025026140
oct242373043
988132500
1042595875
1122053a03
1212322483
138a9527a
14592b3c7
153b16000
hex289f623

42595875 has 80 divisors (see below), whose sum is σ = 90906816. Its totient is φ = 19440000.

The previous prime is 42595859. The next prime is 42595877. The reversal of 42595875 is 57859524.

42595875 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 42595875 - 24 = 42595859 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 42595875.

It is not an unprimeable number, because it can be changed into a prime (42595877) 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 79 ways as a sum of consecutive naturals, for example, 70575 + ... + 71175.

Almost surely, 242595875 is an apocalyptic number.

42595875 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

42595875 is an abundant number, since it is smaller than the sum of its proper divisors (48310941).

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

42595875 is an equidigital number, since it uses as much as digits as its factorization.

42595875 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 635 (or 616 counting only the distinct ones).

The product of its digits is 504000, while the sum is 45.

The square root of 42595875 is about 6526.5515396724. The cubic root of 42595875 is about 349.2388219849.

The spelling of 42595875 in words is "forty-two million, five hundred ninety-five thousand, eight hundred seventy-five".

Divisors: 1 3 5 7 9 15 21 25 27 35 45 63 75 81 105 125 135 175 189 225 315 375 405 525 567 601 675 875 945 1125 1575 1803 2025 2625 2835 3005 3375 4207 4725 5409 7875 9015 10125 12621 14175 15025 16227 21035 23625 27045 37863 45075 48681 63105 70875 75125 81135 105175 113589 135225 189315 225375 243405 315525 340767 405675 525875 567945 676125 946575 1217025 1577625 1703835 2028375 2839725 4732875 6085125 8519175 14198625 42595875