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5282421000 = 233534340949
BaseRepresentation
bin1001110101101101…
…10101100100001000
3111122010210210100020
410322312311210020
541304244433000
62232100340440
7244621560213
oct47266654410
914563723306
105282421000
11227087509a
1210350a4720
136625131cc
143817ba77a
1520db41ba0
hex13adb5908

5282421000 has 128 divisors (see below), whose sum is σ = 16864848000. Its totient is φ = 1375852800.

The previous prime is 5282420989. The next prime is 5282421007. The reversal of 5282421000 is 1242825.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (5282421007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 108526 + ... + 149474.

It is an arithmetic number, because the mean of its divisors is an integer number (131756625).

Almost surely, 25282421000 is an apocalyptic number.

5282421000 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 5282421000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8432424000).

5282421000 is an abundant number, since it is smaller than the sum of its proper divisors (11582427000).

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

5282421000 is a wasteful number, since it uses less digits than its factorization.

5282421000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41016 (or 41002 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 5282421000 is about 72680.2655471208. The cubic root of 5282421000 is about 1741.5836421229.

Adding to 5282421000 its reverse (1242825), we get a palindrome (5283663825).

The spelling of 5282421000 in words is "five billion, two hundred eighty-two million, four hundred twenty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 43 50 60 75 86 100 120 125 129 150 172 200 215 250 258 300 344 375 430 500 516 600 645 750 860 1000 1032 1075 1290 1500 1720 2150 2580 3000 3225 4300 5160 5375 6450 8600 10750 12900 16125 21500 25800 32250 40949 43000 64500 81898 122847 129000 163796 204745 245694 327592 409490 491388 614235 818980 982776 1023725 1228470 1637960 1760807 2047450 2456940 3071175 3521614 4094900 4913880 5118625 5282421 6142350 7043228 8189800 8804035 10237250 10564842 12284700 14086456 15355875 17608070 20474500 21129684 24569400 26412105 30711750 35216140 40949000 42259368 44020175 52824210 61423500 70432280 88040350 105648420 122847000 132060525 176080700 211296840 220100875 264121050 352161400 440201750 528242100 660302625 880403500 1056484200 1320605250 1760807000 2641210500 5282421000