Search a number
-
+
49068500 = 2253137549
BaseRepresentation
bin1011101100101…
…1100111010100
310102022221022212
42323023213110
5100030143000
64511412552
71134034565
oct273134724
9112287285
1049068500
1125774988
1214524158
13a220420
14673416c
154493c35
hex2ecb9d4

49068500 has 48 divisors (see below), whose sum is σ = 115424400. Its totient is φ = 18115200.

The previous prime is 49068491. The next prime is 49068541. The reversal of 49068500 is 586094.

It can be written as a sum of positive squares in 8 ways, for example, as 16418704 + 32649796 = 4052^2 + 5714^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2726 + ... + 10274.

It is an arithmetic number, because the mean of its divisors is an integer number (2404675).

Almost surely, 249068500 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49068500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57712200).

49068500 is an abundant number, since it is smaller than the sum of its proper divisors (66355900).

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

49068500 is a wasteful number, since it uses less digits than its factorization.

49068500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7581 (or 7569 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

The square root of 49068500 is about 7004.8911483334. The cubic root of 49068500 is about 366.1010102720.

The spelling of 49068500 in words is "forty-nine million, sixty-eight thousand, five hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 125 130 250 260 325 500 650 1300 1625 3250 6500 7549 15098 30196 37745 75490 98137 150980 188725 196274 377450 392548 490685 754900 943625 981370 1887250 1962740 2453425 3774500 4906850 9813700 12267125 24534250 49068500