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84800000 = 295553
BaseRepresentation
bin1010000110111…
…11001000000000
312220120021201202
411003133020000
5133202100000
612225320332
72046534215
oct503371000
9186507652
1084800000
114395a54a
12244960a8
131475111c
14b395b0c
1576a0dd5
hex50df200

84800000 has 120 divisors (see below), whose sum is σ = 215775252. Its totient is φ = 33280000.

The previous prime is 84799993. The next prime is 84800017. The reversal of 84800000 is 848.

It can be written as a sum of positive squares in 6 ways, for example, as 4804864 + 79995136 = 2192^2 + 8944^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1599974 + ... + 1600026.

Almost surely, 284800000 is an apocalyptic number.

84800000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107887626).

84800000 is an abundant number, since it is smaller than the sum of its proper divisors (130975252).

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

84800000 is an frugal number, since it uses more digits than its factorization.

84800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 84800000 is about 9208.6915465771. The cubic root of 84800000 is about 439.3378470055.

Adding to 84800000 its reverse (848), we get a palindrome (84800848).

84800000 divided by its reverse (848) gives a 5-th power (100000 = 105).

The spelling of 84800000 in words is "eighty-four million, eight hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 53 64 80 100 106 125 128 160 200 212 250 256 265 320 400 424 500 512 530 625 640 800 848 1000 1060 1250 1280 1325 1600 1696 2000 2120 2500 2560 2650 3125 3200 3392 4000 4240 5000 5300 6250 6400 6625 6784 8000 8480 10000 10600 12500 12800 13250 13568 16000 16960 20000 21200 25000 26500 27136 32000 33125 33920 40000 42400 50000 53000 64000 66250 67840 80000 84800 100000 106000 132500 135680 160000 165625 169600 200000 212000 265000 320000 331250 339200 400000 424000 530000 662500 678400 800000 848000 1060000 1325000 1600000 1696000 2120000 2650000 3392000 4240000 5300000 8480000 10600000 16960000 21200000 42400000 84800000