Search a number
-
+
208676512 = 25111633637
BaseRepresentation
bin11000111000000…
…10011010100000
3112112122212100201
430130002122200
5411410122022
632412354544
75112502222
oct1434023240
9475585321
10208676512
11a7879830
1259a75a54
1334304635
141da00412
15134c0127
hexc7026a0

208676512 has 48 divisors (see below), whose sum is σ = 451053792. Its totient is φ = 94245120.

The previous prime is 208676509. The next prime is 208676519. The reversal of 208676512 is 215676802.

It is a happy number.

It is a super-2 number, since 2×2086765122 = 87091773320972288, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (208676519) 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, 55558 + ... + 59194.

It is an arithmetic number, because the mean of its divisors is an integer number (9396954).

Almost surely, 2208676512 is an apocalyptic number.

208676512 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 208676512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225526896).

208676512 is an abundant number, since it is smaller than the sum of its proper divisors (242377280).

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

208676512 is a wasteful number, since it uses less digits than its factorization.

208676512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3821 (or 3813 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 37.

The square root of 208676512 is about 14445.6398958302. The cubic root of 208676512 is about 593.1408788211.

The spelling of 208676512 in words is "two hundred eight million, six hundred seventy-six thousand, five hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 88 163 176 326 352 652 1304 1793 2608 3586 3637 5216 7172 7274 14344 14548 28688 29096 40007 57376 58192 80014 116384 160028 320056 592831 640112 1185662 1280224 2371324 4742648 6521141 9485296 13042282 18970592 26084564 52169128 104338256 208676512