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216049248 = 2533250057
BaseRepresentation
bin11001110000010…
…10011001100000
3120001112102212000
430320022121200
5420302033443
633234404000
75232250122
oct1470123140
9501472760
10216049248
11100a54aa8
1260430600
13359b63bc
142099d212
1513e798d3
hexce0a660

216049248 has 48 divisors (see below), whose sum is σ = 630146160. Its totient is φ = 72016128.

The previous prime is 216049193. The next prime is 216049259. The reversal of 216049248 is 842940612.

216049248 is a `hidden beast` number, since 2 + 1 + 604 + 9 + 2 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×2160492482 = 93354555122731008, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 124165 + ... + 125892.

It is an arithmetic number, because the mean of its divisors is an integer number (13128045).

Almost surely, 2216049248 is an apocalyptic number.

It is an amenable number.

216049248 is an abundant number, since it is smaller than the sum of its proper divisors (414096912).

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

216049248 is a wasteful number, since it uses less digits than its factorization.

216049248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250076 (or 250062 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 216049248 is about 14698.6138121933. The cubic root of 216049248 is about 600.0455965348.

The spelling of 216049248 in words is "two hundred sixteen million, forty-nine thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 250057 500114 750171 1000228 1500342 2000456 2250513 3000684 4000912 4501026 6001368 6751539 8001824 9002052 12002736 13503078 18004104 24005472 27006156 36008208 54012312 72016416 108024624 216049248