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47214500 = 2253891061
BaseRepresentation
bin1011010000011…
…0111110100100
310021211202010012
42310012332210
544041331000
64403545352
71112213414
oct264067644
9107752105
1047214500
1124718a53
121398b258
139a21598
1463b0644
154229735
hex2d06fa4

47214500 has 48 divisors (see below), whose sum is σ = 104373360. Its totient is φ = 18656000.

The previous prime is 47214443. The next prime is 47214511. The reversal of 47214500 is 541274.

47214500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 19166884 + 28047616 = 4378^2 + 5296^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43970 + ... + 45030.

It is an arithmetic number, because the mean of its divisors is an integer number (2174445).

Almost surely, 247214500 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47214500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52186680).

47214500 is an abundant number, since it is smaller than the sum of its proper divisors (57158860).

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

47214500 is a wasteful number, since it uses less digits than its factorization.

47214500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1169 (or 1157 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 23.

The square root of 47214500 is about 6871.2808121921. The cubic root of 47214500 is about 361.4307772061.

Adding to 47214500 its reverse (541274), we get a palindrome (47755774).

The spelling of 47214500 in words is "forty-seven million, two hundred fourteen thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 89 100 125 178 250 356 445 500 890 1061 1780 2122 2225 4244 4450 5305 8900 10610 11125 21220 22250 26525 44500 53050 94429 106100 132625 188858 265250 377716 472145 530500 944290 1888580 2360725 4721450 9442900 11803625 23607250 47214500