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204692928 = 26311195101
BaseRepresentation
bin11000011001101…
…01110111000000
3112021011110220120
430030311313000
5404400133203
632151140240
75033601246
oct1414656700
9467143816
10204692928
11a55a8910
1258674680
133353b39b
141d284796
1512e84b53
hexc335dc0

204692928 has 112 divisors (see below), whose sum is σ = 622035840. Its totient is φ = 58752000.

The previous prime is 204692927. The next prime is 204692941. The reversal of 204692928 is 829296402.

It is a self number, because there is not a number n which added to its sum of digits gives 204692928.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204692921) 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 15 ways as a sum of consecutive naturals, for example, 37578 + ... + 42678.

Almost surely, 2204692928 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 204692928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311017920).

204692928 is an abundant number, since it is smaller than the sum of its proper divisors (417342912).

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

204692928 is a wasteful number, since it uses less digits than its factorization.

204692928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5146 (or 5136 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 204692928 is about 14307.0936251917. The cubic root of 204692928 is about 589.3422987973.

The spelling of 204692928 in words is "two hundred four million, six hundred ninety-two thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 24 32 33 38 44 48 57 64 66 76 88 96 114 132 152 176 192 209 228 264 304 352 418 456 528 608 627 704 836 912 1056 1216 1254 1672 1824 2112 2508 3344 3648 5016 5101 6688 10032 10202 13376 15303 20064 20404 30606 40128 40808 56111 61212 81616 96919 112222 122424 163232 168333 193838 224444 244848 290757 326464 336666 387676 448888 489696 581514 673332 775352 897776 979392 1066109 1163028 1346664 1550704 1795552 2132218 2326056 2693328 3101408 3198327 3591104 4264436 4652112 5386656 6202816 6396654 8528872 9304224 10773312 12793308 17057744 18608448 25586616 34115488 51173232 68230976 102346464 204692928