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52780050 = 23252532213
BaseRepresentation
bin1100100101010…
…1110000010010
310200022111121200
43021111300102
5102002430200
65123132030
71210423461
oct311256022
9120274550
1052780050
112787a484
1215814016
13ac1c8cb
14701c9d8
154978800
hex3255c12

52780050 has 72 divisors (see below), whose sum is σ = 144543204. Its totient is φ = 13802880.

The previous prime is 52780037. The next prime is 52780061. The reversal of 52780050 is 5008725.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 42263001 + 10517049 = 6501^2 + 3243^2 .

It is a junction number, because it is equal to n+sod(n) for n = 52779996 and 52780023.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 22744 + ... + 24956.

Almost surely, 252780050 is an apocalyptic number.

52780050 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 52780050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72271602).

52780050 is an abundant number, since it is smaller than the sum of its proper divisors (91763154).

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

52780050 is a wasteful number, since it uses less digits than its factorization.

52780050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2284 (or 2276 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 52780050 is about 7264.9879559432. The cubic root of 52780050 is about 375.1082354239.

Adding to 52780050 its reverse (5008725), we get a palindrome (57788775).

The spelling of 52780050 in words is "fifty-two million, seven hundred eighty thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 53 75 90 106 150 159 225 265 318 450 477 530 795 954 1325 1590 2213 2385 2650 3975 4426 4770 6639 7950 11065 11925 13278 19917 22130 23850 33195 39834 55325 66390 99585 110650 117289 165975 199170 234578 331950 351867 497925 586445 703734 995850 1055601 1172890 1759335 2111202 2932225 3518670 5278005 5864450 8796675 10556010 17593350 26390025 52780050