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211608992 = 257979739
BaseRepresentation
bin11001001110011…
…10010110100000
3112202011211222002
430213032112200
5413132441432
632555303132
75146434560
oct1447162640
9482154862
10211608992
11a94a1a71
125aa4aaa8
1334ac032a
1420164da0
151389de62
hexc9ce5a0

211608992 has 48 divisors (see below), whose sum is σ = 481078080. Its totient is φ = 89745408.

The previous prime is 211608961. The next prime is 211609009. The reversal of 211608992 is 299806112.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16859 + ... + 26597.

It is an arithmetic number, because the mean of its divisors is an integer number (10022460).

Almost surely, 2211608992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211608992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240539040).

211608992 is an abundant number, since it is smaller than the sum of its proper divisors (269469088).

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

211608992 is an equidigital number, since it uses as much as digits as its factorization.

211608992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9853 (or 9845 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 38.

The square root of 211608992 is about 14546.7863117597. The cubic root of 211608992 is about 595.9063859093.

The spelling of 211608992 in words is "two hundred eleven million, six hundred eight thousand, nine hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 97 112 194 224 388 679 776 1358 1552 2716 3104 5432 9739 10864 19478 21728 38956 68173 77912 136346 155824 272692 311648 545384 944683 1090768 1889366 2181536 3778732 6612781 7557464 13225562 15114928 26451124 30229856 52902248 105804496 211608992