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84485200 = 2452211213
BaseRepresentation
bin1010000100100…
…10010001010000
312212222021220111
411002102101100
5133112011300
612214451104
72044053352
oct502222120
9185867814
1084485200
1143764a88
1224363a94
1314670a57
14b3130d2
15763c9ba
hex5092450

84485200 has 30 divisors (see below), whose sum is σ = 202976654. Its totient is φ = 33793920.

The previous prime is 84485143. The next prime is 84485209. The reversal of 84485200 is 258448.

It can be written as a sum of positive squares in 3 ways, for example, as 652864 + 83832336 = 808^2 + 9156^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84485209) 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, 105207 + ... + 106006.

Almost surely, 284485200 is an apocalyptic number.

84485200 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

84485200 is an abundant number, since it is smaller than the sum of its proper divisors (118491454).

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

84485200 is a wasteful number, since it uses less digits than its factorization.

84485200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211231 (or 211220 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 31.

The square root of 84485200 is about 9191.5831062989. The cubic root of 84485200 is about 438.7935268489.

The spelling of 84485200 in words is "eighty-four million, four hundred eighty-five thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 211213 422426 844852 1056065 1689704 2112130 3379408 4224260 5280325 8448520 10560650 16897040 21121300 42242600 84485200