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52475300 = 2252539901
BaseRepresentation
bin1100100000101…
…1010110100100
310122202000120122
43020023112210
5101413202200
65112421112
71205014133
oct310132644
9118660518
1052475300
1127691519
12156a7798
13ab43c97
146d7d91a
154918385
hex320b5a4

52475300 has 36 divisors (see below), whose sum is σ = 116031636. Its totient is φ = 20592000.

The previous prime is 52475299. The next prime is 52475309. The reversal of 52475300 is 357425.

It can be written as a sum of positive squares in 6 ways, for example, as 3587236 + 48888064 = 1894^2 + 6992^2 .

It is a super-2 number, since 2×524753002 = 5507314220180000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 52475300.

It is not an unprimeable number, because it can be changed into a prime (52475309) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 350 + ... + 10250.

It is an arithmetic number, because the mean of its divisors is an integer number (3223101).

Almost surely, 252475300 is an apocalyptic number.

52475300 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 52475300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58015818).

52475300 is an abundant number, since it is smaller than the sum of its proper divisors (63556336).

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

52475300 is a wasteful number, since it uses less digits than its factorization.

52475300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9968 (or 9961 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 26.

The square root of 52475300 is about 7243.9837106388. The cubic root of 52475300 is about 374.3848878802.

The spelling of 52475300 in words is "fifty-two million, four hundred seventy-five thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 53 100 106 212 265 530 1060 1325 2650 5300 9901 19802 39604 49505 99010 198020 247525 495050 524753 990100 1049506 2099012 2623765 5247530 10495060 13118825 26237650 52475300