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42546075 = 35211133967
BaseRepresentation
bin1010001001001…
…1001110011011
32222001120020120
42202103032123
541342433300
64115524323
71024431015
oct242231633
988046216
1042546075
112201a550
12122b96a3
138a786c0
1459171b5
153b063a0
hex289339b

42546075 has 48 divisors (see below), whose sum is σ = 82661376. Its totient is φ = 19036800.

The previous prime is 42546071. The next prime is 42546083. The reversal of 42546075 is 57064524.

42546075 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 42546075 - 22 = 42546071 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (42546071) 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 47 ways as a sum of consecutive naturals, for example, 8742 + ... + 12708.

It is an arithmetic number, because the mean of its divisors is an integer number (1722112).

Almost surely, 242546075 is an apocalyptic number.

42546075 is a deficient number, since it is larger than the sum of its proper divisors (40115301).

42546075 is a wasteful number, since it uses less digits than its factorization.

42546075 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4004 (or 3999 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 33.

The square root of 42546075 is about 6522.7352391462. The cubic root of 42546075 is about 349.1026673643.

The spelling of 42546075 in words is "forty-two million, five hundred forty-six thousand, seventy-five".

Divisors: 1 3 5 11 13 15 25 33 39 55 65 75 143 165 195 275 325 429 715 825 975 2145 3575 3967 10725 11901 19835 43637 51571 59505 99175 130911 154713 218185 257855 297525 567281 654555 773565 1090925 1289275 1701843 2836405 3272775 3867825 8509215 14182025 42546075