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30648 = 2331277
BaseRepresentation
bin111011110111000
31120001010
413132320
51440043
6353520
7155232
oct73670
946033
1030648
1121032
12158a0
1310c47
14b252
159133
hex77b8

30648 has 16 divisors (see below), whose sum is σ = 76680. Its totient is φ = 10208.

The previous prime is 30643. The next prime is 30649. The reversal of 30648 is 84603.

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 30648.

It is not an unprimeable number, because it can be changed into a prime (30643) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 615 + ... + 662.

230648 is an apocalyptic number.

It is an amenable number.

30648 is an abundant number, since it is smaller than the sum of its proper divisors (46032).

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 (38340).

30648 is a wasteful number, since it uses less digits than its factorization.

30648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1286 (or 1282 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 30648 is about 175.0657019522. The cubic root of 30648 is about 31.2944540661.

The spelling of 30648 in words is "thirty thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 24 1277 2554 3831 5108 7662 10216 15324 30648