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85480100 = 2252854801
BaseRepresentation
bin1010001100001…
…01001010100100
312221211211122122
411012011022210
5133340330400
612252045112
72055366056
oct506051244
9187754578
1085480100
1144284512
1224763798
131492b854
14b4d18d6
157787685
hex51852a4

85480100 has 18 divisors (see below), whose sum is σ = 185492034. Its totient is φ = 34192000.

The previous prime is 85480099. The next prime is 85480103. The reversal of 85480100 is 108458.

It can be written as a sum of positive squares in 3 ways, for example, as 65536 + 85414564 = 256^2 + 9242^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 85480100.

It is not an unprimeable number, because it can be changed into a prime (85480103) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 427301 + ... + 427500.

It is an arithmetic number, because the mean of its divisors is an integer number (10305113).

Almost surely, 285480100 is an apocalyptic number.

It is an amenable number.

85480100 is an abundant number, since it is smaller than the sum of its proper divisors (100011934).

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

85480100 is a wasteful number, since it uses less digits than its factorization.

85480100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 854815 (or 854808 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 26.

The square root of 85480100 is about 9245.5448730727. The cubic root of 85480100 is about 440.5092244823.

Adding to 85480100 its reverse (108458), we get a palindrome (85588558).

The spelling of 85480100 in words is "eighty-five million, four hundred eighty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 854801 1709602 3419204 4274005 8548010 17096020 21370025 42740050 85480100