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5200000 = 275513
BaseRepresentation
bin10011110101100010000000
3100210012001121
4103311202000
52312400000
6303242024
762125231
oct23654200
910705047
105200000
112a31923
1218a9314
131100b30
14995088
156cab1a
hex4f5880

5200000 has 96 divisors (see below), whose sum is σ = 13944420. Its totient is φ = 1920000.

The previous prime is 5199983. The next prime is 5200007. The reversal of 5200000 is 25.

It can be written as a sum of positive squares in 6 ways, for example, as 1420864 + 3779136 = 1192^2 + 1944^2 .

It is a sliding number, since 5200000 = 200000 + 5000000 and 1/200000 + 1/5000000 = 0.000005200000.

It is a nialpdrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (5200007) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 399994 + ... + 400006.

Almost surely, 25200000 is an apocalyptic number.

5200000 is a gapful number since it is divisible by the number (50) 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 5200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6972210).

5200000 is an abundant number, since it is smaller than the sum of its proper divisors (8744420).

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

5200000 is an frugal number, since it uses more digits than its factorization.

5200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52 (or 20 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 7.

The square root of 5200000 is about 2280.3508501983. The cubic root of 5200000 is about 173.2478210682.

Adding to 5200000 its reverse (25), we get a palindrome (5200025).

It can be divided in two parts, 5 and 200000, that multiplied together give a 6-th power (1000000 = 106).

The spelling of 5200000 in words is "five million, two hundred thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 64 65 80 100 104 125 128 130 160 200 208 250 260 320 325 400 416 500 520 625 640 650 800 832 1000 1040 1250 1300 1600 1625 1664 2000 2080 2500 2600 3125 3200 3250 4000 4160 5000 5200 6250 6500 8000 8125 8320 10000 10400 12500 13000 16000 16250 20000 20800 25000 26000 32500 40000 40625 41600 50000 52000 65000 80000 81250 100000 104000 130000 162500 200000 208000 260000 325000 400000 520000 650000 1040000 1300000 2600000 5200000