Search a number
-
+
204873376 = 2547179761
BaseRepresentation
bin11000011011000…
…01111010100000
3112021111122102211
430031201322200
5404421422001
632155051504
75035252321
oct1415417240
9467448384
10204873376
11a5711444
1258740b94
13335a2566
141d2d0448
1512ebd351
hexc361ea0

204873376 has 48 divisors (see below), whose sum is σ = 414771840. Its totient is φ = 99566080.

The previous prime is 204873353. The next prime is 204873379. The reversal of 204873376 is 673378402.

It is a happy number.

It is a super-5 number, since 5×2048733765 (a number of 43 digits) contains 55555 as substring.

It is not an unprimeable number, because it can be changed into a prime (204873379) 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, 268836 + ... + 269596.

It is an arithmetic number, because the mean of its divisors is an integer number (8641080).

Almost surely, 2204873376 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 204873376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207385920).

204873376 is an abundant number, since it is smaller than the sum of its proper divisors (209898464).

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

204873376 is a wasteful number, since it uses less digits than its factorization.

204873376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 997 (or 989 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 40.

The square root of 204873376 is about 14313.3984783489. The cubic root of 204873376 is about 589.5154270789.

The spelling of 204873376 in words is "two hundred four million, eight hundred seventy-three thousand, three hundred seventy-six".

Divisors: 1 2 4 8 16 32 47 94 179 188 358 376 716 752 761 1432 1504 1522 2864 3044 5728 6088 8413 12176 16826 24352 33652 35767 67304 71534 134608 136219 143068 269216 272438 286136 544876 572272 1089752 1144544 2179504 4359008 6402293 12804586 25609172 51218344 102436688 204873376