Search a number
-
+
546049800 = 233252303361
BaseRepresentation
bin100000100011000…
…000111100001000
31102001111012111200
4200203000330020
52104242043200
6130103424200
716350226632
oct4043007410
91361435450
10546049800
1126025a32a
12132a55060
13891894ba
1452741a52
1532e12800
hex208c0f08

546049800 has 72 divisors (see below), whose sum is σ = 1833823290. Its totient is φ = 145612800.

The previous prime is 546049793. The next prime is 546049859. The reversal of 546049800 is 8940645.

It can be written as a sum of positive squares in 3 ways, for example, as 384708996 + 161340804 = 19614^2 + 12702^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 149881 + ... + 153480.

Almost surely, 2546049800 is an apocalyptic number.

546049800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

546049800 is an abundant number, since it is smaller than the sum of its proper divisors (1287773490).

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

546049800 is a wasteful number, since it uses less digits than its factorization.

546049800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303383 (or 303371 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 546049800 is about 23367.7084884248. The cubic root of 546049800 is about 817.3550510341.

The spelling of 546049800 in words is "five hundred forty-six million, forty-nine thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1800 303361 606722 910083 1213444 1516805 1820166 2426888 2730249 3033610 3640332 4550415 5460498 6067220 7280664 7584025 9100830 10920996 12134440 13651245 15168050 18201660 21841992 22752075 27302490 30336100 36403320 45504150 54604980 60672200 68256225 91008300 109209960 136512450 182016600 273024900 546049800