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209483968 = 261929067
BaseRepresentation
bin11000111110001…
…11100011000000
3112121011212222111
430133013203000
5412111441333
632441545104
75122404301
oct1437074300
9477155874
10209483968
11a8280451
125a1a5194
1334528015
141db707a8
15135ce4cd
hexc7c78c0

209483968 has 42 divisors (see below), whose sum is σ = 438773316. Its totient is φ = 99218304.

The previous prime is 209483929. The next prime is 209483969. The reversal of 209483968 is 869384902.

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (209483969) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 18571 + ... + 27637.

Almost surely, 2209483968 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 209483968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219386658).

209483968 is an abundant number, since it is smaller than the sum of its proper divisors (229289348).

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

209483968 is an equidigital number, since it uses as much as digits as its factorization.

209483968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9117 (or 9088 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 49.

The square root of 209483968 is about 14473.5609992842. The cubic root of 209483968 is about 593.9049302364.

The spelling of 209483968 in words is "two hundred nine million, four hundred eighty-three thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 16 19 32 38 64 76 152 304 361 608 722 1216 1444 2888 5776 9067 11552 18134 23104 36268 72536 145072 172273 290144 344546 580288 689092 1378184 2756368 3273187 5512736 6546374 11025472 13092748 26185496 52370992 104741984 209483968