Search a number
-
+
5581671200 = 255271758631
BaseRepresentation
bin1010011001011000…
…11000101100100000
3112101222220021102222
411030230120230200
542412401434300
62321510330212
7255214264610
oct51454305440
915358807388
105581671200
112404787206
1210b9359968
136ac50a931
143ad436a40
1522a053785
hex14cb18b20

5581671200 has 144 divisors (see below), whose sum is σ = 16489194624. Its totient is φ = 1801113600.

The previous prime is 5581671197. The next prime is 5581671229. The reversal of 5581671200 is 21761855.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 65885 + ... + 124515.

It is an arithmetic number, because the mean of its divisors is an integer number (114508296).

Almost surely, 25581671200 is an apocalyptic number.

5581671200 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 5581671200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8244597312).

5581671200 is an abundant number, since it is smaller than the sum of its proper divisors (10907523424).

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

5581671200 is a wasteful number, since it uses less digits than its factorization.

5581671200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58675 (or 58662 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 35.

The square root of 5581671200 is about 74710.5829183523. The cubic root of 5581671200 is about 1773.8684793910.

The spelling of 5581671200 in words is "five billion, five hundred eighty-one million, six hundred seventy-one thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 17 20 25 28 32 34 35 40 50 56 68 70 80 85 100 112 119 136 140 160 170 175 200 224 238 272 280 340 350 400 425 476 544 560 595 680 700 800 850 952 1120 1190 1360 1400 1700 1904 2380 2720 2800 2975 3400 3808 4760 5600 5950 6800 9520 11900 13600 19040 23800 47600 58631 95200 117262 234524 293155 410417 469048 586310 820834 938096 996727 1172620 1465775 1641668 1876192 1993454 2052085 2345240 2931550 3283336 3986908 4104170 4690480 4983635 5863100 6566672 6977089 7973816 8208340 9380960 9967270 10260425 11726200 13133344 13954178 15947632 16416680 19934540 20520850 23452400 24918175 27908356 31895264 32833360 34885445 39869080 41041700 46904800 49836350 55816712 65666720 69770890 79738160 82083400 99672700 111633424 139541780 159476320 164166800 174427225 199345400 223266848 279083560 328333600 348854450 398690800 558167120 697708900 797381600 1116334240 1395417800 2790835600 5581671200