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47040500 = 2253137237
BaseRepresentation
bin1011001101110…
…0011111110100
310021111220102202
42303130133310
544020244000
64400124032
71110560213
oct263343764
9107456382
1047040500
112460a251
1213906618
139990320
14636707a
1541e2dd5
hex2cdc7f4

47040500 has 48 divisors (see below), whose sum is σ = 110654544. Its totient is φ = 17366400.

The previous prime is 47040481. The next prime is 47040503. The reversal of 47040500 is 504074.

47040500 is digitally balanced in base 9, 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 20394256 + 26646244 = 4516^2 + 5162^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

47040500 is strictly pandigital in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47040503) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2882 + ... + 10118.

It is an arithmetic number, because the mean of its divisors is an integer number (2305303).

Almost surely, 247040500 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 47040500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55327272).

47040500 is an abundant number, since it is smaller than the sum of its proper divisors (63614044).

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

47040500 is a wasteful number, since it uses less digits than its factorization.

47040500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7269 (or 7257 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 20.

The square root of 47040500 is about 6858.6077304363. The cubic root of 47040500 is about 360.9862360245.

Adding to 47040500 its reverse (504074), we get a palindrome (47544574).

The spelling of 47040500 in words is "forty-seven million, forty thousand, five hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 125 130 250 260 325 500 650 1300 1625 3250 6500 7237 14474 28948 36185 72370 94081 144740 180925 188162 361850 376324 470405 723700 904625 940810 1809250 1881620 2352025 3618500 4704050 9408100 11760125 23520250 47040500