Search a number
-
+
209488896 = 210337577
BaseRepresentation
bin11000111110010…
…00110000000000
3112121012010202000
430133020300000
5412112121041
632442024000
75122424541
oct1437106000
9477163660
10209488896
11a8284121
125a1a8000
133452a336
141db724c8
15135d0bb6
hexc7c8c00

209488896 has 88 divisors (see below), whose sum is σ = 620486640. Its totient is φ = 69820416.

The previous prime is 209488879. The next prime is 209488897. The reversal of 209488896 is 698884902.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (209488897) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23860 + ... + 31436.

Almost surely, 2209488896 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 209488896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310243320).

209488896 is an abundant number, since it is smaller than the sum of its proper divisors (410997744).

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

209488896 is an equidigital number, since it uses as much as digits as its factorization.

209488896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7606 (or 7582 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The square root of 209488896 is about 14473.7312397322. The cubic root of 209488896 is about 593.9095873001.

The spelling of 209488896 in words is "two hundred nine million, four hundred eighty-eight thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1024 1152 1536 1728 2304 3072 3456 4608 6912 7577 9216 13824 15154 22731 27648 30308 45462 60616 68193 90924 121232 136386 181848 204579 242464 272772 363696 409158 484928 545544 727392 818316 969856 1091088 1454784 1636632 1939712 2182176 2909568 3273264 3879424 4364352 5819136 6546528 7758848 8728704 11638272 13093056 17457408 23276544 26186112 34914816 52372224 69829632 104744448 209488896