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48609 = 3211491
BaseRepresentation
bin1011110111100001
32110200100
423313201
53023414
61013013
7261501
oct136741
973610
1048609
1133580
1224169
1319182
1413a01
15e609
hexbde1

48609 has 12 divisors (see below), whose sum is σ = 76752. Its totient is φ = 29400.

The previous prime is 48593. The next prime is 48611. The reversal of 48609 is 90684.

48609 = T46 + T47 + ... + T72.

It is not a de Polignac number, because 48609 - 24 = 48593 is a prime.

It is not an unprimeable number, because it can be changed into a prime (48619) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 147 + ... + 344.

It is an arithmetic number, because the mean of its divisors is an integer number (6396).

248609 is an apocalyptic number.

It is an amenable number.

48609 is a deficient number, since it is larger than the sum of its proper divisors (28143).

48609 is a wasteful number, since it uses less digits than its factorization.

48609 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 505 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 48609 is about 220.4744883201. The cubic root of 48609 is about 36.4954645018.

The spelling of 48609 in words is "forty-eight thousand, six hundred nine".

Divisors: 1 3 9 11 33 99 491 1473 4419 5401 16203 48609