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47620 = 2252381
BaseRepresentation
bin1011101000000100
32102022201
423220010
53010440
61004244
7255556
oct135004
972281
1047620
1132861
1223684
13188a1
14134d6
15e19a
hexba04

47620 has 12 divisors (see below), whose sum is σ = 100044. Its totient is φ = 19040.

The previous prime is 47609. The next prime is 47623. The reversal of 47620 is 2674.

It can be written as a sum of positive squares in 2 ways, for example, as 5184 + 42436 = 72^2 + 206^2 .

It is a plaindrome in base 7.

It is not an unprimeable number, because it can be changed into a prime (47623) by changing a digit.

47620 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 3 ways as a sum of consecutive naturals, for example, 1171 + ... + 1210.

It is an arithmetic number, because the mean of its divisors is an integer number (8337).

247620 is an apocalyptic number.

It is an amenable number.

47620 is an abundant number, since it is smaller than the sum of its proper divisors (52424).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50022).

47620 is a wasteful number, since it uses less digits than its factorization.

47620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2390 (or 2388 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 19.

The square root of 47620 is about 218.2200724040. The cubic root of 47620 is about 36.2462540719.

It can be divided in two parts, 476 and 20, that added together give a triangular number (496 = T31).

The spelling of 47620 in words is "forty-seven thousand, six hundred twenty".

Divisors: 1 2 4 5 10 20 2381 4762 9524 11905 23810 47620