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216748 = 2277741
BaseRepresentation
bin110100111010101100
3102000022201
4310322230
523413443
64351244
71561630
oct647254
9360281
10216748
11138934
12a5524
137786c
1458dc0
154434d
hex34eac

216748 has 12 divisors (see below), whose sum is σ = 433552. Its totient is φ = 92880.

The previous prime is 216743. The next prime is 216751. The reversal of 216748 is 847612.

216748 is an admirable number.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (28), and also a Moran number because the ratio is a prime number: 7741 = 216748 / (2 + 1 + 6 + 7 + 4 + 8).

It is not an unprimeable number, because it can be changed into a prime (216743) by changing a digit.

216748 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, 3843 + ... + 3898.

2216748 is an apocalyptic number.

216748 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

216748 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

216748 is a wasteful number, since it uses less digits than its factorization.

216748 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7752 (or 7750 counting only the distinct ones).

The product of its digits is 2688, while the sum is 28.

The square root of 216748 is about 465.5620259428. The cubic root of 216748 is about 60.0691794653.

The spelling of 216748 in words is "two hundred sixteen thousand, seven hundred forty-eight".

Divisors: 1 2 4 7 14 28 7741 15482 30964 54187 108374 216748