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50225000 = 23557241
BaseRepresentation
bin1011111110010…
…1111101101000
310111111200202012
42333211331220
5100324200000
64552255052
71146622400
oct277457550
9114450665
1050225000
1126394871
12149a1488
13a536947
146955800
154621735
hex2fe5f68

50225000 has 144 divisors (see below), whose sum is σ = 140264460. Its totient is φ = 16800000.

The previous prime is 50224981. The next prime is 50225003. The reversal of 50225000 is 52205.

It can be written as a sum of positive squares in 6 ways, for example, as 17757796 + 32467204 = 4214^2 + 5698^2 .

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50225003) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 1224980 + ... + 1225020.

Almost surely, 250225000 is an apocalyptic number.

50225000 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 50225000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70132230).

50225000 is an abundant number, since it is smaller than the sum of its proper divisors (90039460).

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

50225000 is an equidigital number, since it uses as much as digits as its factorization.

50225000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 14.

The square root of 50225000 is about 7086.9598559608. The cubic root of 50225000 is about 368.9549277478.

Adding to 50225000 its reverse (52205), we get a palindrome (50277205).

The spelling of 50225000 in words is "fifty million, two hundred twenty-five thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 41 49 50 56 70 82 98 100 125 140 164 175 196 200 205 245 250 280 287 328 350 392 410 490 500 574 625 700 820 875 980 1000 1025 1148 1225 1250 1400 1435 1640 1750 1960 2009 2050 2296 2450 2500 2870 3125 3500 4018 4100 4375 4900 5000 5125 5740 6125 6250 7000 7175 8036 8200 8750 9800 10045 10250 11480 12250 12500 14350 16072 17500 20090 20500 21875 24500 25000 25625 28700 30625 35000 35875 40180 41000 43750 49000 50225 51250 57400 61250 71750 80360 87500 100450 102500 122500 128125 143500 153125 175000 179375 200900 205000 245000 251125 256250 287000 306250 358750 401800 502250 512500 612500 717500 896875 1004500 1025000 1225000 1255625 1435000 1793750 2009000 2511250 3587500 5022500 6278125 7175000 10045000 12556250 25112500 50225000