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47100 = 22352157
BaseRepresentation
bin1011011111111100
32101121110
423133330
53001400
61002020
7254214
oct133774
971543
1047100
1132429
1223310
1318591
1413244
15de50
hexb7fc

47100 has 36 divisors (see below), whose sum is σ = 137144. Its totient is φ = 12480.

The previous prime is 47093. The next prime is 47111. The reversal of 47100 is 174.

It is a super-3 number, since 3×471003 = 313461333000000, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 47100.

It is an unprimeable number.

47100 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 222 + ... + 378.

247100 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 47100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68572).

47100 is an abundant number, since it is smaller than the sum of its proper divisors (90044).

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

47100 is a wasteful number, since it uses less digits than its factorization.

47100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 12.

The square root of 47100 is about 217.0253441421. The cubic root of 47100 is about 36.1138371819.

Adding to 47100 its reverse (174), we get a palindrome (47274).

The spelling of 47100 in words is "forty-seven thousand, one hundred", and thus it is an iban number.

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 157 300 314 471 628 785 942 1570 1884 2355 3140 3925 4710 7850 9420 11775 15700 23550 47100