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5725788900 = 22352131937607
BaseRepresentation
bin1010101010100100…
…01001101011100100
3112210001002012202120
411111102021223210
543211300221100
62344055305540
7261614255046
oct52522115344
915701065676
105725788900
112479070a47
12113967b2b0
1370332a290
143c462da96
15237a200a0
hex155489ae4

5725788900 has 144 divisors (see below), whose sum is σ = 17935768704. Its totient is φ = 1401937920.

The previous prime is 5725788881. The next prime is 5725788907. The reversal of 5725788900 is 98875275.

It is not an unprimeable number, because it can be changed into a prime (5725788907) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 748897 + ... + 756503.

Almost surely, 25725788900 is an apocalyptic number.

5725788900 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 5725788900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8967884352).

5725788900 is an abundant number, since it is smaller than the sum of its proper divisors (12209979804).

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

5725788900 is a wasteful number, since it uses less digits than its factorization.

5725788900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7830 (or 7823 counting only the distinct ones).

The product of its (nonzero) digits is 1411200, while the sum is 51.

The square root of 5725788900 is about 75668.9427704656. The cubic root of 5725788900 is about 1789.0059189126.

The spelling of 5725788900 in words is "five billion, seven hundred twenty-five million, seven hundred eighty-eight thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 130 150 156 193 195 260 300 325 386 390 579 650 772 780 965 975 1158 1300 1930 1950 2316 2509 2895 3860 3900 4825 5018 5790 7527 7607 9650 10036 11580 12545 14475 15054 15214 19300 22821 25090 28950 30108 30428 37635 38035 45642 50180 57900 62725 75270 76070 91284 98891 114105 125450 150540 152140 188175 190175 197782 228210 250900 296673 376350 380350 395564 456420 494455 570525 593346 752700 760700 988910 1141050 1186692 1468151 1483365 1977820 2282100 2472275 2936302 2966730 4404453 4944550 5872604 5933460 7340755 7416825 8808906 9889100 14681510 14833650 17617812 19085963 22022265 29363020 29667300 36703775 38171926 44044530 57257889 73407550 76343852 88089060 95429815 110111325 114515778 146815100 190859630 220222650 229031556 286289445 381719260 440445300 477149075 572578890 954298150 1145157780 1431447225 1908596300 2862894450 5725788900