Search a number
-
+
2050248000 = 2635385427
BaseRepresentation
bin111101000110100…
…0100110101000000
312021212220101112010
41322031010311000
513144330414000
6535235532520
7101543551263
oct17215046500
95255811463
102050248000
11962347739
1249275a140
132689bb5c8
14156418cda
15beedad50
hex7a344d40

2050248000 has 112 divisors (see below), whose sum is σ = 6769998144. Its totient is φ = 546726400.

The previous prime is 2050247999. The next prime is 2050248007. The reversal of 2050248000 is 8420502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2050248007) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 18714 + ... + 66713.

It is an arithmetic number, because the mean of its divisors is an integer number (60446412).

Almost surely, 22050248000 is an apocalyptic number.

2050248000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2050248000 is an abundant number, since it is smaller than the sum of its proper divisors (4719750144).

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

2050248000 is an equidigital number, since it uses as much as digits as its factorization.

2050248000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85457 (or 85437 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 2050248000 is about 45279.6643097097. The cubic root of 2050248000 is about 1270.3853171874.

Adding to 2050248000 its reverse (8420502), we get a palindrome (2058668502).

The spelling of 2050248000 in words is "two billion, fifty million, two hundred forty-eight thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 150 160 192 200 240 250 300 320 375 400 480 500 600 750 800 960 1000 1200 1500 1600 2000 2400 3000 4000 4800 6000 8000 12000 24000 85427 170854 256281 341708 427135 512562 683416 854270 1025124 1281405 1366832 1708540 2050248 2135675 2562810 2733664 3417080 4100496 4271350 5125620 5467328 6407025 6834160 8200992 8542700 10251240 10678375 12814050 13668320 16401984 17085400 20502480 21356750 25628100 27336640 32035125 34170800 41004960 42713500 51256200 64070250 68341600 82009920 85427000 102512400 128140500 136683200 170854000 205024800 256281000 341708000 410049600 512562000 683416000 1025124000 2050248000