Search a number
-
+
47485000 = 23549497
BaseRepresentation
bin1011010100100…
…1000001001000
310022100111011201
42311021001020
544124010000
64413433544
71114421143
oct265110110
9108314151
1047485000
1124893202
1213a9b8b4
139ab7744
14644105a
15427e96a
hex2d49048

47485000 has 40 divisors (see below), whose sum is σ = 111269070. Its totient is φ = 18992000.

The previous prime is 47484991. The next prime is 47485001. The reversal of 47485000 is 58474.

It can be written as a sum of positive squares in 5 ways, for example, as 1435204 + 46049796 = 1198^2 + 6786^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 47485000.

It is not an unprimeable number, because it can be changed into a prime (47485001) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 252 + ... + 9748.

Almost surely, 247485000 is an apocalyptic number.

47485000 is a gapful number since it is divisible by the number (40) 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 47485000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55634535).

47485000 is an abundant number, since it is smaller than the sum of its proper divisors (63784070).

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

47485000 is an equidigital number, since it uses as much as digits as its factorization.

47485000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9523 (or 9504 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 28.

The square root of 47485000 is about 6890.9360757447. The cubic root of 47485000 is about 362.1196962825.

The spelling of 47485000 in words is "forty-seven million, four hundred eighty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 625 1000 1250 2500 5000 9497 18994 37988 47485 75976 94970 189940 237425 379880 474850 949700 1187125 1899400 2374250 4748500 5935625 9497000 11871250 23742500 47485000