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1050005200 = 245223611871
BaseRepresentation
bin111110100101011…
…100111011010000
32201011202210100111
4332211130323100
54122300131300
6252105131104
735006616436
oct7645347320
92634683314
101050005200
114997784a2
12253789a94
131396c7a6a
149d646d56
15622ac9ba
hex3e95ced0

1050005200 has 120 divisors (see below), whose sum is σ = 2676900096. Its totient is φ = 394944000.

The previous prime is 1050005197. The next prime is 1050005213. The reversal of 1050005200 is 25000501.

It is a super-2 number, since 2×10500052002 = 2205021840054080000, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 560265 + ... + 562135.

Almost surely, 21050005200 is an apocalyptic number.

1050005200 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 1050005200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1338450048).

1050005200 is an abundant number, since it is smaller than the sum of its proper divisors (1626894896).

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

1050005200 is a wasteful number, since it uses less digits than its factorization.

1050005200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1973 (or 1962 counting only the distinct ones).

The product of its (nonzero) digits is 50, while the sum is 13.

The square root of 1050005200 is about 32403.7837296819. The cubic root of 1050005200 is about 1016.3980346727.

Adding to 1050005200 its reverse (25000501), we get a palindrome (1075005701).

The spelling of 1050005200 in words is "one billion, fifty million, five thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 23 25 40 46 50 61 80 92 100 115 122 184 200 230 244 305 368 400 460 488 575 610 920 976 1150 1220 1403 1525 1840 1871 2300 2440 2806 3050 3742 4600 4880 5612 6100 7015 7484 9200 9355 11224 12200 14030 14968 18710 22448 24400 28060 29936 35075 37420 43033 46775 56120 70150 74840 86066 93550 112240 114131 140300 149680 172132 187100 215165 228262 280600 344264 374200 430330 456524 561200 570655 688528 748400 860660 913048 1075825 1141310 1721320 1826096 2151650 2282620 2625013 2853275 3442640 4303300 4565240 5250026 5706550 8606600 9130480 10500052 11413100 13125065 17213200 21000104 22826200 26250130 42000208 45652400 52500260 65625325 105000520 131250650 210001040 262501300 525002600 1050005200