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85888350 = 235527069
BaseRepresentation
bin1010001111010…
…00110101011110
312222121120200000
411013220311132
5133441411400
612304515130
72062016232
oct507506536
9188546600
1085888350
1144533209
122491baa6
1314a42612
14b59a5c2
157818600
hex51e8d5e

85888350 has 72 divisors (see below), whose sum is σ = 239333640. Its totient is φ = 22900320.

The previous prime is 85888337. The next prime is 85888351. The reversal of 85888350 is 5388858.

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

It is a junction number, because it is equal to n+sod(n) for n = 85888296 and 85888305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85888351) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8616 + ... + 15684.

Almost surely, 285888350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85888350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119666820).

85888350 is an abundant number, since it is smaller than the sum of its proper divisors (153445290).

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

85888350 is a wasteful number, since it uses less digits than its factorization.

85888350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7096 (or 7079 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 45.

The square root of 85888350 is about 9267.5967758637. The cubic root of 85888350 is about 441.2093966014.

The spelling of 85888350 in words is "eighty-five million, eight hundred eighty-eight thousand, three hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 81 90 135 150 162 225 243 270 405 450 486 675 810 1215 1350 2025 2430 4050 6075 7069 12150 14138 21207 35345 42414 63621 70690 106035 127242 176725 190863 212070 318105 353450 381726 530175 572589 636210 954315 1060350 1145178 1590525 1717767 1908630 2862945 3181050 3435534 4771575 5725890 8588835 9543150 14314725 17177670 28629450 42944175 85888350