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8413280000 = 285452583
BaseRepresentation
bin1111101010111100…
…00111011100000000
3210201100001220110222
413311132013130000
5114212244430000
63510501442212
7415326462056
oct76536073400
923640056428
108413280000
113628093874
121769710368
13a410541b8
1459b5281d6
15343933a85
hex1f5787700

8413280000 has 90 divisors (see below), whose sum is σ = 20985801144. Its totient is φ = 3365248000.

The previous prime is 8413279993. The next prime is 8413280027. The reversal of 8413280000 is 823148.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 133709 + ... + 186291.

Almost surely, 28413280000 is an apocalyptic number.

8413280000 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 8413280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10492900572).

8413280000 is an abundant number, since it is smaller than the sum of its proper divisors (12572521144).

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

8413280000 is an frugal number, since it uses more digits than its factorization.

8413280000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52619 (or 52590 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 8413280000 is about 91723.9336269438. The cubic root of 8413280000 is about 2033.8633990871.

The spelling of 8413280000 in words is "eight billion, four hundred thirteen million, two hundred eighty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 625 640 800 1000 1250 1280 1600 2000 2500 3200 4000 5000 6400 8000 10000 16000 20000 32000 40000 52583 80000 105166 160000 210332 262915 420664 525830 841328 1051660 1314575 1682656 2103320 2629150 3365312 4206640 5258300 6572875 6730624 8413280 10516600 13145750 13461248 16826560 21033200 26291500 32864375 33653120 42066400 52583000 65728750 67306240 84132800 105166000 131457500 168265600 210332000 262915000 336531200 420664000 525830000 841328000 1051660000 1682656000 2103320000 4206640000 8413280000