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85799250 = 2345319223
BaseRepresentation
bin1010001110100…
…11000101010010
312222110001110000
411013103011102
5133431034000
612302550430
72061165405
oct507230522
9188401400
1085799250
1144482279
1224898416
1314a10bb4
14b575d3c
1577ec000
hex51d3152

85799250 has 160 divisors (see below), whose sum is σ = 253693440. Its totient is φ = 21578400.

The previous prime is 85799239. The next prime is 85799251. The reversal of 85799250 is 5299758.

It is a happy number.

It is a super-2 number, since 2×857992502 = 14723022601125000, which contains 22 as substring.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 85799196 and 85799205.

It is not an unprimeable number, because it can be changed into a prime (85799251) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 384639 + ... + 384861.

It is an arithmetic number, because the mean of its divisors is an integer number (1585584).

Almost surely, 285799250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85799250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126846720).

85799250 is an abundant number, since it is smaller than the sum of its proper divisors (167894190).

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

85799250 is a wasteful number, since it uses less digits than its factorization.

85799250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The square root of 85799250 is about 9262.7884570468. The cubic root of 85799250 is about 441.0567745869.

The spelling of 85799250 in words is "eighty-five million, seven hundred ninety-nine thousand, two hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 19 25 27 30 38 45 50 54 57 75 81 90 95 114 125 135 150 162 171 190 223 225 250 270 285 342 375 405 446 450 475 513 570 669 675 750 810 855 950 1026 1115 1125 1338 1350 1425 1539 1710 2007 2025 2230 2250 2375 2565 2850 3078 3345 3375 4014 4050 4237 4275 4750 5130 5575 6021 6690 6750 7125 7695 8474 8550 10035 10125 11150 12042 12711 12825 14250 15390 16725 18063 20070 20250 21185 21375 25422 25650 27875 30105 33450 36126 38133 38475 42370 42750 50175 55750 60210 63555 64125 76266 76950 83625 90315 100350 105925 114399 127110 128250 150525 167250 180630 190665 192375 211850 228798 250875 301050 317775 343197 381330 384750 451575 501750 529625 571995 635550 686394 752625 903150 953325 1059250 1143990 1505250 1588875 1715985 1906650 2257875 2859975 3177750 3431970 4515750 4766625 5719950 8579925 9533250 14299875 17159850 28599750 42899625 85799250