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204169248 = 2534227347
BaseRepresentation
bin11000010101101…
…10000000100000
3112020011212120000
430022312000200
5404231403443
632132020000
75026260423
oct1412660040
9466155500
10204169248
11a5280418
1258461600
13333b6c0a
141d1899ba
1512dce8d3
hexc2b6020

204169248 has 120 divisors (see below), whose sum is σ = 604839312. Its totient is φ = 67561344.

The previous prime is 204169241. The next prime is 204169253. The reversal of 204169248 is 842961402.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (204169241) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 588211 + ... + 588557.

Almost surely, 2204169248 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 204169248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302419656).

204169248 is an abundant number, since it is smaller than the sum of its proper divisors (400670064).

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

204169248 is a wasteful number, since it uses less digits than its factorization.

204169248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 596 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 204169248 is about 14288.7804938000. The cubic root of 204169248 is about 588.8392846052.

It can be divided in two parts, 2041 and 69248, that added together give a square (71289 = 2672).

The spelling of 204169248 in words is "two hundred four million, one hundred sixty-nine thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 227 288 324 347 432 454 648 681 694 864 908 1041 1296 1362 1388 1816 2043 2082 2592 2724 2776 3123 3632 4086 4164 5448 5552 6129 6246 7264 8172 8328 9369 10896 11104 12258 12492 16344 16656 18387 18738 21792 24516 24984 28107 32688 33312 36774 37476 49032 49968 56214 65376 73548 74952 78769 98064 99936 112428 147096 149904 157538 196128 224856 236307 294192 299808 315076 449712 472614 588384 630152 708921 899424 945228 1260304 1417842 1890456 2126763 2520608 2835684 3780912 4253526 5671368 6380289 7561824 8507052 11342736 12760578 17014104 22685472 25521156 34028208 51042312 68056416 102084624 204169248