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42195087 = 3411232971
BaseRepresentation
bin1010000011110…
…1100010001111
32221101201210000
42200331202033
541300220322
64104215343
71021436514
oct240754217
987351700
1042195087
11218aa880
121216a553
138984a0c
14586530b
153a873ac
hex283d88f

42195087 has 80 divisors (see below), whose sum is σ = 75271680. Its totient is φ = 23284800.

The previous prime is 42195079. The next prime is 42195113. The reversal of 42195087 is 78059124.

42195087 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 42195087 - 23 = 42195079 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42195287) 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, 594262 + ... + 594332.

It is an arithmetic number, because the mean of its divisors is an integer number (940896).

Almost surely, 242195087 is an apocalyptic number.

42195087 is a deficient number, since it is larger than the sum of its proper divisors (33076593).

42195087 is a wasteful number, since it uses less digits than its factorization.

42195087 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 42195087 is about 6495.7745496592. The cubic root of 42195087 is about 348.1400298535.

The spelling of 42195087 in words is "forty-two million, one hundred ninety-five thousand, eighty-seven".

Divisors: 1 3 9 11 23 27 29 33 69 71 81 87 99 207 213 253 261 297 319 621 639 667 759 781 783 891 957 1633 1863 1917 2001 2059 2277 2343 2349 2871 4899 5751 6003 6177 6831 7029 7337 8613 14697 17963 18009 18531 20493 21087 22011 22649 25839 44091 47357 53889 54027 55593 63261 66033 67947 132273 142071 161667 166779 198099 203841 426213 485001 520927 594297 611523 1278639 1455003 1562781 1834569 3835917 4688343 14065029 42195087