Search a number
-
+
5549868900 = 223452685169
BaseRepresentation
bin1010010101100110…
…00100011101100100
3112022210001112220000
411022303010131210
542331231301100
62314412541300
7254350051542
oct51263043544
915283045800
105549868900
112398835714
1210aa781830
136a5a544c4
143a9118d92
15227370900
hex14acc4764

5549868900 has 90 divisors (see below), whose sum is σ = 17990508690. Its totient is φ = 1479962880.

The previous prime is 5549868893. The next prime is 5549868911. The reversal of 5549868900 is 98689455.

It is a happy number.

5549868900 is a `hidden beast` number, since 5 + 5 + 498 + 68 + 90 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 1306388736 + 4243480164 = 36144^2 + 65142^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 334485 + ... + 350684.

It is an arithmetic number, because the mean of its divisors is an integer number (199894541).

Almost surely, 25549868900 is an apocalyptic number.

5549868900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5549868900 is an abundant number, since it is smaller than the sum of its proper divisors (12440639790).

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

5549868900 is a wasteful number, since it uses less digits than its factorization.

5549868900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 685195 (or 685179 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The square root of 5549868900 is about 74497.4422379722. The cubic root of 5549868900 is about 1770.4931116756.

The spelling of 5549868900 in words is "five billion, five hundred forty-nine million, eight hundred sixty-eight thousand, nine hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 81 90 100 108 135 150 162 180 225 270 300 324 405 450 540 675 810 900 1350 1620 2025 2700 4050 8100 685169 1370338 2055507 2740676 3425845 4111014 6166521 6851690 8222028 10277535 12333042 13703380 17129225 18499563 20555070 24666084 30832605 34258450 36999126 41110140 51387675 55498689 61665210 68516900 73998252 92497815 102775350 110997378 123330420 154163025 184995630 205550700 221994756 277493445 308326050 369991260 462489075 554986890 616652100 924978150 1109973780 1387467225 1849956300 2774934450 5549868900