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85482640 = 2455320161
BaseRepresentation
bin1010001100001…
…01110010010000
312221211222010201
411012011302100
5133340421030
612252104544
72055406345
oct506056220
9187758121
1085482640
1144286411
1224765154
131492ca59
14b4d27cc
1577882ca
hex5185c90

85482640 has 40 divisors (see below), whose sum is σ = 202507128. Its totient is φ = 33546240.

The previous prime is 85482601. The next prime is 85482671. The reversal of 85482640 is 4628458.

It can be written as a sum of positive squares in 4 ways, for example, as 20647936 + 64834704 = 4544^2 + 8052^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 85482640.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5841 + ... + 14320.

Almost surely, 285482640 is an apocalyptic number.

85482640 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85482640 is an abundant number, since it is smaller than the sum of its proper divisors (117024488).

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

85482640 is a wasteful number, since it uses less digits than its factorization.

85482640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20227 (or 20221 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 37.

The square root of 85482640 is about 9245.6822355086. The cubic root of 85482640 is about 440.5135876122.

The spelling of 85482640 in words is "eighty-five million, four hundred eighty-two thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 53 80 106 212 265 424 530 848 1060 2120 4240 20161 40322 80644 100805 161288 201610 322576 403220 806440 1068533 1612880 2137066 4274132 5342665 8548264 10685330 17096528 21370660 42741320 85482640