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5716222400 = 26527272911
BaseRepresentation
bin1010101001011011…
…01010000111000000
3112202101002011222202
411110231222013000
543201323104100
62343114252332
7261440042300
oct52455520700
915671064882
105716222400
112473727549
1211364270a8
1370135ab25
143c325d600
15236c807d5
hex154b6a1c0

5716222400 has 126 divisors (see below), whose sum is σ = 16362109008. Its totient is φ = 1959820800.

The previous prime is 5716222349. The next prime is 5716222403. The reversal of 5716222400 is 42226175.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5716222403) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 41945 + ... + 114855.

It is an arithmetic number, because the mean of its divisors is an integer number (129858008).

Almost surely, 25716222400 is an apocalyptic number.

5716222400 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 5716222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8181054504).

5716222400 is an abundant number, since it is smaller than the sum of its proper divisors (10645886608).

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

5716222400 is a wasteful number, since it uses less digits than its factorization.

5716222400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72947 (or 72925 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 29.

The square root of 5716222400 is about 75605.7034885596. The cubic root of 5716222400 is about 1788.0090219038.

Adding to 5716222400 its reverse (42226175), we get a palindrome (5758448575).

The spelling of 5716222400 in words is "five billion, seven hundred sixteen million, two hundred twenty-two thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 49 50 56 64 70 80 98 100 112 140 160 175 196 200 224 245 280 320 350 392 400 448 490 560 700 784 800 980 1120 1225 1400 1568 1600 1960 2240 2450 2800 3136 3920 4900 5600 7840 9800 11200 15680 19600 39200 72911 78400 145822 291644 364555 510377 583288 729110 1020754 1166576 1458220 1822775 2041508 2333152 2551885 2916440 3572639 3645550 4083016 4666304 5103770 5832880 7145278 7291100 8166032 10207540 11665760 12759425 14290556 14582200 16332064 17863195 20415080 23331520 25518850 28581112 29164400 32664128 35726390 40830160 51037700 57162224 58328800 71452780 81660320 89315975 102075400 114324448 116657600 142905560 163320640 178631950 204150800 228648896 285811120 357263900 408301600 571622240 714527800 816603200 1143244480 1429055600 2858111200 5716222400