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85599396 = 2233978171
BaseRepresentation
bin1010001101000…
…10010010100100
312222001220022000
411012202102210
5133403140041
612254405300
72056403631
oct506422244
9188056260
1085599396
1144356103
1224800830
1314970c3c
14b523188
1577acbb6
hex51a24a4

85599396 has 48 divisors (see below), whose sum is σ = 224239680. Its totient is φ = 28235520.

The previous prime is 85599391. The next prime is 85599433. The reversal of 85599396 is 69399558.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (85599391) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6391 + ... + 14561.

It is an arithmetic number, because the mean of its divisors is an integer number (4671660).

Almost surely, 285599396 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85599396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112119840).

85599396 is an abundant number, since it is smaller than the sum of its proper divisors (138640284).

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

85599396 is a wasteful number, since it uses less digits than its factorization.

85599396 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8281 (or 8273 counting only the distinct ones).

The product of its digits is 2624400, while the sum is 54.

The square root of 85599396 is about 9251.9941634223. The cubic root of 85599396 is about 440.7140540690.

It can be divided in two parts, 8559 and 9396, that added together give a triangular number (17955 = T189).

The spelling of 85599396 in words is "eighty-five million, five hundred ninety-nine thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 97 108 194 291 388 582 873 1164 1746 2619 3492 5238 8171 10476 16342 24513 32684 49026 73539 98052 147078 220617 294156 441234 792587 882468 1585174 2377761 3170348 4755522 7133283 9511044 14266566 21399849 28533132 42799698 85599396