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5984484500 = 2253173172221
BaseRepresentation
bin1011001001011001…
…11111110010010100
3120110001212022102002
411210230333302110
544224012001000
62425500134432
7301205164451
oct54454776224
916401768362
105984484500
1125a10a3865
1211b0237418
13744ac58b7
1440ab30828
152505c08d5
hex164b3fc94

5984484500 has 96 divisors (see below), whose sum is σ = 13888850976. Its totient is φ = 2244864000.

The previous prime is 5984484487. The next prime is 5984484503. The reversal of 5984484500 is 54844895.

It can be written as a sum of positive squares in 16 ways, for example, as 4412679184 + 1571805316 = 66428^2 + 39646^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5984484503) 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, 2693390 + ... + 2695610.

It is an arithmetic number, because the mean of its divisors is an integer number (144675531).

Almost surely, 25984484500 is an apocalyptic number.

5984484500 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 5984484500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6944425488).

5984484500 is an abundant number, since it is smaller than the sum of its proper divisors (7904366476).

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

5984484500 is a wasteful number, since it uses less digits than its factorization.

5984484500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2574 (or 2562 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 47.

The square root of 5984484500 is about 77359.4499721915. The cubic root of 5984484500 is about 1815.5529333002.

The spelling of 5984484500 in words is "five billion, nine hundred eighty-four million, four hundred eighty-four thousand, five hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 125 170 250 317 340 425 500 634 850 1268 1585 1700 2125 2221 3170 4250 4442 5389 6340 7925 8500 8884 10778 11105 15850 21556 22210 26945 31700 37757 39625 44420 53890 55525 75514 79250 107780 111050 134725 151028 158500 188785 222100 269450 277625 377570 538900 555250 673625 704057 755140 943925 1110500 1347250 1408114 1887850 2694500 2816228 3520285 3775700 4719625 7040570 9439250 11968969 14081140 17601425 18878500 23937938 35202850 47875876 59844845 70405700 88007125 119689690 176014250 239379380 299224225 352028500 598448450 1196896900 1496121125 2992242250 5984484500