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5609482800 = 243527165839
BaseRepresentation
bin1010011100101100…
…11110101000110000
3112110221020020210020
411032112132220300
542442011422200
62324342403440
7256002550155
oct51626365060
915427206706
105609482800
1124194524a9
121106730580
136b51c77bc
143b2dd622c
1522c6e8ea0
hex14e59ea30

5609482800 has 120 divisors (see below), whose sum is σ = 18222405120. Its totient is φ = 1474771200.

The previous prime is 5609482783. The next prime is 5609482951. The reversal of 5609482800 is 82849065.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52281 + ... + 118119.

It is an arithmetic number, because the mean of its divisors is an integer number (151853376).

Almost surely, 25609482800 is an apocalyptic number.

5609482800 is a gapful number since it is divisible by the number (50) 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 5609482800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9111202560).

5609482800 is an abundant number, since it is smaller than the sum of its proper divisors (12612922320).

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

5609482800 is a wasteful number, since it uses less digits than its factorization.

5609482800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65931 (or 65920 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 5609482800 is about 74896.4805581678. The cubic root of 5609482800 is about 1776.8097972886.

The spelling of 5609482800 in words is "five billion, six hundred nine million, four hundred eighty-two thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 71 75 80 100 120 142 150 200 213 240 284 300 355 400 426 568 600 710 852 1065 1136 1200 1420 1704 1775 2130 2840 3408 3550 4260 5325 5680 7100 8520 10650 14200 17040 21300 28400 42600 65839 85200 131678 197517 263356 329195 395034 526712 658390 790068 987585 1053424 1316780 1580136 1645975 1975170 2633560 3160272 3291950 3950340 4674569 4937925 5267120 6583900 7900680 9349138 9875850 13167800 14023707 15801360 18698276 19751700 23372845 26335600 28047414 37396552 39503400 46745690 56094828 70118535 74793104 79006800 93491380 112189656 116864225 140237070 186982760 224379312 233728450 280474140 350592675 373965520 467456900 560948280 701185350 934913800 1121896560 1402370700 1869827600 2804741400 5609482800