Search a number
-
+
2449130360 = 2354311312601
BaseRepresentation
bin1001000111111010…
…1100001101111000
320022200110201020212
42101332230031320
520003434132420
61043005210252
7114456156515
oct22176541570
96280421225
102449130360
111047519986
12584260988
1330052b281
141933ac30c
15e502d3c5
hex91fac378

2449130360 has 64 divisors (see below), whose sum is σ = 5689046880. Its totient is φ = 948326400.

The previous prime is 2449130339. The next prime is 2449130401. The reversal of 2449130360 is 630319442.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 188060 + ... + 200660.

Almost surely, 22449130360 is an apocalyptic number.

2449130360 is a gapful number since it is divisible by the number (20) 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 2449130360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2844523440).

2449130360 is an abundant number, since it is smaller than the sum of its proper divisors (3239916520).

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

2449130360 is a wasteful number, since it uses less digits than its factorization.

2449130360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12768 (or 12764 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 32.

The square root of 2449130360 is about 49488.6892127888. The cubic root of 2449130360 is about 1347.9402260504.

The spelling of 2449130360 in words is "two billion, four hundred forty-nine million, one hundred thirty thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 43 86 113 172 215 226 344 430 452 565 860 904 1130 1720 2260 4520 4859 9718 12601 19436 24295 25202 38872 48590 50404 63005 97180 100808 126010 194360 252020 504040 541843 1083686 1423913 2167372 2709215 2847826 4334744 5418430 5695652 7119565 10836860 11391304 14239130 21673720 28478260 56956520 61228259 122456518 244913036 306141295 489826072 612282590 1224565180 2449130360