Search a number
-
+
49230000 = 243254547
BaseRepresentation
bin1011101111001…
…1000010110000
310102122010212100
42323303002300
5100100330000
64515100400
71135306461
oct273630260
9112563770
1049230000
1125875256
12145a1700
13a278aa1
146776d68
1544c6a00
hex2ef30b0

49230000 has 150 divisors (see below), whose sum is σ = 172479164. Its totient is φ = 13104000.

The previous prime is 49229941. The next prime is 49230031. The reversal of 49230000 is 3294.

49230000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (150).

It is a Harshad number since it is a multiple of its sum of digits (18).

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 29 ways as a sum of consecutive naturals, for example, 89727 + ... + 90273.

Almost surely, 249230000 is an apocalyptic number.

49230000 is a gapful number since it is divisible by the number (40) 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 49230000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86239582).

49230000 is an abundant number, since it is smaller than the sum of its proper divisors (123249164).

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

49230000 is a wasteful number, since it uses less digits than its factorization.

49230000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 581 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 49230000 is about 7016.4093381159. The cubic root of 49230000 is about 366.5022219440.

Adding to 49230000 its reverse (3294), we get a palindrome (49233294).

The spelling of 49230000 in words is "forty-nine million, two hundred thirty thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 125 144 150 180 200 225 240 250 300 360 375 400 450 500 547 600 625 720 750 900 1000 1094 1125 1200 1250 1500 1641 1800 1875 2000 2188 2250 2500 2735 3000 3282 3600 3750 4376 4500 4923 5000 5470 5625 6000 6564 7500 8205 8752 9000 9846 10000 10940 11250 13128 13675 15000 16410 18000 19692 21880 22500 24615 26256 27350 30000 32820 39384 41025 43760 45000 49230 54700 65640 68375 78768 82050 90000 98460 109400 123075 131280 136750 164100 196920 205125 218800 246150 273500 328200 341875 393840 410250 492300 547000 615375 656400 683750 820500 984600 1025625 1094000 1230750 1367500 1641000 1969200 2051250 2461500 2735000 3076875 3282000 4102500 4923000 5470000 6153750 8205000 9846000 12307500 16410000 24615000 49230000