[go: up one dir, main page]

Search a number
-
+
48505000 = 235489109
BaseRepresentation
bin1011100100001…
…0000010101000
310101021022100111
42321002002220
544404130000
64451344104
71126166665
oct271020250
9111238314
1048505000
112541a585
12142b2034
13a083aab
146628a6c
1543d1cba
hex2e420a8

48505000 has 80 divisors (see below), whose sum is σ = 115978500. Its totient is φ = 19008000.

The previous prime is 48504991. The next prime is 48505001. The reversal of 48505000 is 50584.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 5654884 + 42850116 = 2378^2 + 6546^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48505001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 444946 + ... + 445054.

Almost surely, 248505000 is an apocalyptic number.

48505000 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 48505000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57989250).

48505000 is an abundant number, since it is smaller than the sum of its proper divisors (67473500).

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

48505000 is a wasteful number, since it uses less digits than its factorization.

48505000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 22.

The square root of 48505000 is about 6964.5531084198. The cubic root of 48505000 is about 364.6941830733.

Adding to 48505000 its reverse (50584), we get a palindrome (48555584).

The spelling of 48505000 in words is "forty-eight million, five hundred five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 89 100 109 125 178 200 218 250 356 436 445 500 545 625 712 872 890 1000 1090 1250 1780 2180 2225 2500 2725 3560 4360 4450 5000 5450 8900 9701 10900 11125 13625 17800 19402 21800 22250 27250 38804 44500 48505 54500 55625 68125 77608 89000 97010 109000 111250 136250 194020 222500 242525 272500 388040 445000 485050 545000 970100 1212625 1940200 2425250 4850500 6063125 9701000 12126250 24252500 48505000