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1450005200 = 245271094751
BaseRepresentation
bin101011001101101…
…0101001011010000
310202001102220012022
41112123111023100
510432200131300
6355514351012
750634561260
oct12633251320
93661386168
101450005200
11684543406
1234572b468
131a1539357
14da80b7a0
1587471285
hex566d52d0

1450005200 has 120 divisors (see below), whose sum is σ = 4018671360. Its totient is φ = 492480000.

The previous prime is 1450005199. The next prime is 1450005211. The reversal of 1450005200 is 25000541.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 302825 + ... + 307575.

It is an arithmetic number, because the mean of its divisors is an integer number (33488928).

Almost surely, 21450005200 is an apocalyptic number.

1450005200 is a gapful number since it is divisible by the number (10) 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 1450005200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2009335680).

1450005200 is an abundant number, since it is smaller than the sum of its proper divisors (2568666160).

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

1450005200 is a wasteful number, since it uses less digits than its factorization.

1450005200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4885 (or 4874 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 17.

The square root of 1450005200 is about 38078.9338086034. The cubic root of 1450005200 is about 1131.8525489789.

Adding to 1450005200 its reverse (25000541), we get a palindrome (1475005741).

The spelling of 1450005200 in words is "one billion, four hundred fifty million, five thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 109 112 140 175 200 218 280 350 400 436 545 560 700 763 872 1090 1400 1526 1744 2180 2725 2800 3052 3815 4360 4751 5450 6104 7630 8720 9502 10900 12208 15260 19004 19075 21800 23755 30520 33257 38008 38150 43600 47510 61040 66514 76016 76300 95020 118775 133028 152600 166285 190040 237550 266056 305200 332570 380080 475100 517859 532112 665140 831425 950200 1035718 1330280 1662850 1900400 2071436 2589295 2660560 3325700 3625013 4142872 5178590 6651400 7250026 8285744 10357180 12946475 13302800 14500052 18125065 20714360 25892950 29000104 36250130 41428720 51785900 58000208 72500260 90625325 103571800 145000520 181250650 207143600 290001040 362501300 725002600 1450005200