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848000000 = 2105653
BaseRepresentation
bin110010100010110…
…111010000000000
32012002122212022102
4302202313100000
53214042000000
6220051325532
730004611131
oct6242672000
92162585272
10848000000
113a5745a51
121b7bb08a8
131068bab63
14808a1c88
154e6a93d5
hex328b7400

848000000 has 154 divisors (see below), whose sum is σ = 2158917678. Its totient is φ = 332800000.

The previous prime is 847999973. The next prime is 848000051. The reversal of 848000000 is 848.

It can be written as a sum of positive squares in 7 ways, for example, as 842392576 + 5607424 = 29024^2 + 2368^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 15999974 + ... + 16000026.

Almost surely, 2848000000 is an apocalyptic number.

848000000 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 848000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1079458839).

848000000 is an abundant number, since it is smaller than the sum of its proper divisors (1310917678).

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

848000000 is an frugal number, since it uses more digits than its factorization.

848000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 60 counting only the distinct ones).

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

The square root of 848000000 is about 29120.4395571221. The cubic root of 848000000 is about 946.5246982327.

Adding to 848000000 its reverse (848), we get a palindrome (848000848).

Multiplying 848000000 by its reverse (848), we get a square (719104000000 = 8480002).

848000000 divided by its reverse (848) gives a 6-th power (1000000 = 106).

The spelling of 848000000 in words is "eight hundred forty-eight million", and thus it is an aban number.

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 1024 1060 1250 1280 1325 1600 1696 2000 2120 2500 2560 2650 3125 3200 3392 4000 4240 5000 5120 5300 6250 6400 6625 6784 8000 8480 10000 10600 12500 12800 13250 13568 15625 16000 16960 20000 21200 25000 25600 26500 27136 31250 32000 33125 33920 40000 42400 50000 53000 54272 62500 64000 66250 67840 80000 84800 100000 106000 125000 128000 132500 135680 160000 165625 169600 200000 212000 250000 265000 271360 320000 331250 339200 400000 424000 500000 530000 640000 662500 678400 800000 828125 848000 1000000 1060000 1325000 1356800 1600000 1656250 1696000 2000000 2120000 2650000 3200000 3312500 3392000 4000000 4240000 5300000 6625000 6784000 8000000 8480000 10600000 13250000 16000000 16960000 21200000 26500000 33920000 42400000 53000000 84800000 106000000 169600000 212000000 424000000 848000000