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85440150 = 23352193331
BaseRepresentation
bin1010001011110…
…11011010010110
312221202210212000
411011323122112
5133333041100
612251140130
72055141435
oct505733226
9187683760
1085440150
11442574a4
1224744646
1314916603
14b4c111c
15777a900
hex517b696

85440150 has 96 divisors (see below), whose sum is σ = 247900800. Its totient is φ = 21578400.

The previous prime is 85440137. The next prime is 85440151. The reversal of 85440150 is 5104458.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85440151) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23985 + ... + 27315.

It is an arithmetic number, because the mean of its divisors is an integer number (2582300).

Almost surely, 285440150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85440150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123950400).

85440150 is an abundant number, since it is smaller than the sum of its proper divisors (162460650).

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

85440150 is a wasteful number, since it uses less digits than its factorization.

85440150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3371 (or 3360 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 85440150 is about 9243.3841205481. The cubic root of 85440150 is about 440.4405882897.

The spelling of 85440150 in words is "eighty-five million, four hundred forty thousand, one hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 19 25 27 30 38 45 50 54 57 75 90 95 114 135 150 171 190 225 270 285 342 450 475 513 570 675 855 950 1026 1350 1425 1710 2565 2850 3331 4275 5130 6662 8550 9993 12825 16655 19986 25650 29979 33310 49965 59958 63289 83275 89937 99930 126578 149895 166550 179874 189867 249825 299790 316445 379734 449685 499650 569601 632890 749475 899370 949335 1139202 1498950 1582225 1708803 1898670 2248425 2848005 3164450 3417606 4496850 4746675 5696010 8544015 9493350 14240025 17088030 28480050 42720075 85440150