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90142875 = 345329307
BaseRepresentation
bin1010101111101…
…11100010011011
320021121201210000
411113313202123
5141034033000
612540024043
72143126134
oct527674233
9207551700
1090142875
1146979749
1226232023
13158a1ca4
14bd86c8b
157da9000
hex55f789b

90142875 has 80 divisors (see below), whose sum is σ = 174414240. Its totient is φ = 46267200.

The previous prime is 90142831. The next prime is 90142889. The reversal of 90142875 is 57824109.

It is not a de Polignac number, because 90142875 - 29 = 90142363 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 293472 + ... + 293778.

It is an arithmetic number, because the mean of its divisors is an integer number (2180178).

Almost surely, 290142875 is an apocalyptic number.

90142875 is a deficient number, since it is larger than the sum of its proper divisors (84271365).

90142875 is a wasteful number, since it uses less digits than its factorization.

90142875 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 344 counting only the distinct ones).

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

The square root of 90142875 is about 9494.3601680155. The cubic root of 90142875 is about 448.3774902803.

The spelling of 90142875 in words is "ninety million, one hundred forty-two thousand, eight hundred seventy-five".

Divisors: 1 3 5 9 15 25 27 29 45 75 81 87 125 135 145 225 261 307 375 405 435 675 725 783 921 1125 1305 1535 2025 2175 2349 2763 3375 3625 3915 4605 6525 7675 8289 8903 10125 10875 11745 13815 19575 23025 24867 26709 32625 38375 41445 44515 58725 69075 80127 97875 115125 124335 133545 207225 222575 240381 293625 345375 400635 621675 667725 721143 1036125 1112875 1201905 2003175 3108375 3338625 3605715 6009525 10015875 18028575 30047625 90142875