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85040550 = 2335278999
BaseRepresentation
bin1010001000110…
…01110110100110
312221000111201000
411010121312212
5133232244200
612234414130
72051555430
oct504316646
9187014630
1085040550
1144004251
1224591346
131480676a
14b419650
1576ec300
hex5119da6

85040550 has 96 divisors (see below), whose sum is σ = 267840000. Its totient is φ = 19435680.

The previous prime is 85040539. The next prime is 85040551. The reversal of 85040550 is 5504058.

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 (85040551) 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 47 ways as a sum of consecutive naturals, for example, 4951 + ... + 13949.

It is an arithmetic number, because the mean of its divisors is an integer number (2790000).

Almost surely, 285040550 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85040550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133920000).

85040550 is an abundant number, since it is smaller than the sum of its proper divisors (182799450).

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

85040550 is a wasteful number, since it uses less digits than its factorization.

85040550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9027 (or 9016 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

The square root of 85040550 is about 9221.7433275927. The cubic root of 85040550 is about 439.7528743134.

The spelling of 85040550 in words is "eighty-five million, forty thousand, five hundred fifty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 25 27 30 35 42 45 50 54 63 70 75 90 105 126 135 150 175 189 210 225 270 315 350 378 450 525 630 675 945 1050 1350 1575 1890 3150 4725 8999 9450 17998 26997 44995 53994 62993 80991 89990 125986 134985 161982 188979 224975 242973 269970 314965 377958 404955 449950 485946 566937 629930 674925 809910 944895 1133874 1214865 1349850 1574825 1700811 1889790 2024775 2429730 2834685 3149650 3401622 4049550 4724475 5669370 6074325 8504055 9448950 12148650 14173425 17008110 28346850 42520275 85040550