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90864375 = 354722343
BaseRepresentation
bin1010110101001…
…11101011110111
320022222101111020
411122213223313
5141230130000
613003312223
72152222500
oct532475367
9208871436
1090864375
1147321828
122651b673
1315a95504
14c0d3ba7
157e9cba0
hex56a7af7

90864375 has 120 divisors (see below), whose sum is σ = 188039808. Its totient is φ = 38808000.

The previous prime is 90864373. The next prime is 90864383. The reversal of 90864375 is 57346809.

It is a happy number.

It is not a de Polignac number, because 90864375 - 21 = 90864373 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90864373) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2113104 + ... + 2113146.

Almost surely, 290864375 is an apocalyptic number.

90864375 is an abundant number, since it is smaller than the sum of its proper divisors (97175433).

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

90864375 is a wasteful number, since it uses less digits than its factorization.

90864375 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 90864375 is about 9532.2806819774. The cubic root of 90864375 is about 449.5705779997.

The spelling of 90864375 in words is "ninety million, eight hundred sixty-four thousand, three hundred seventy-five".

Divisors: 1 3 5 7 15 21 23 25 35 43 49 69 75 105 115 125 129 147 161 175 215 245 301 345 375 483 525 575 625 645 735 805 875 903 989 1075 1127 1225 1505 1725 1875 2107 2415 2625 2875 2967 3225 3381 3675 4025 4375 4515 4945 5375 5635 6125 6321 6923 7525 8625 10535 12075 13125 14375 14835 16125 16905 18375 20125 20769 22575 24725 26875 28175 30625 31605 34615 37625 43125 48461 52675 60375 74175 80625 84525 91875 100625 103845 112875 123625 140875 145383 158025 173075 188125 242305 263375 301875 370875 422625 519225 564375 618125 704375 726915 790125 865375 1211525 1316875 1854375 2113125 2596125 3634575 3950625 4326875 6057625 12980625 18172875 30288125 90864375