Search a number
-
+
204609792 = 2832631013
BaseRepresentation
bin11000011001000…
…01100100000000
3112021000020212110
430030201210000
5404340003132
632145255320
75033104002
oct1414414400
9467006773
10204609792
11a5551402
1258634540
133350c5aa
141d262372
1512e6a1cc
hexc321900

204609792 has 72 divisors (see below), whose sum is σ = 547170624. Its totient is φ = 67876864.

The previous prime is 204609791. The next prime is 204609793. The reversal of 204609792 is 297906402.

It is an interprime number because it is at equal distance from previous prime (204609791) and next prime (204609793).

It is a self number, because there is not a number n which added to its sum of digits gives 204609792.

It is not an unprimeable number, because it can be changed into a prime (204609791) 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, 201478 + ... + 202490.

It is an arithmetic number, because the mean of its divisors is an integer number (7599592).

Almost surely, 2204609792 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 204609792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273585312).

204609792 is an abundant number, since it is smaller than the sum of its proper divisors (342560832).

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

204609792 is a wasteful number, since it uses less digits than its factorization.

204609792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1295 (or 1281 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 204609792 is about 14304.1879182287. The cubic root of 204609792 is about 589.2625008996.

The spelling of 204609792 in words is "two hundred four million, six hundred nine thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 263 384 526 768 789 1013 1052 1578 2026 2104 3039 3156 4052 4208 6078 6312 8104 8416 12156 12624 16208 16832 24312 25248 32416 33664 48624 50496 64832 67328 97248 100992 129664 194496 201984 259328 266419 388992 532838 777984 799257 1065676 1598514 2131352 3197028 4262704 6394056 8525408 12788112 17050816 25576224 34101632 51152448 68203264 102304896 204609792