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204188796 = 223371631657
BaseRepresentation
bin11000010101110…
…10110001111100
3112020012212101000
430022322301330
5404233020141
632132250300
75026401420
oct1412726174
9466185330
10204188796
11a5294079
1258470990
13333c2a96
141d192b80
1512dd55b6
hexc2bac7c

204188796 has 96 divisors (see below), whose sum is σ = 609082880. Its totient is φ = 57946752.

The previous prime is 204188791. The next prime is 204188833. The reversal of 204188796 is 697881402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204188791) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 122400 + ... + 124056.

Almost surely, 2204188796 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 204188796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304541440).

204188796 is an abundant number, since it is smaller than the sum of its proper divisors (404894084).

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

204188796 is a wasteful number, since it uses less digits than its factorization.

204188796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1840 (or 1832 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 204188796 is about 14289.4645106106. The cubic root of 204188796 is about 588.8580766337.

The spelling of 204188796 in words is "two hundred four million, one hundred eighty-eight thousand, seven hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 163 189 252 326 378 489 652 756 978 1141 1467 1657 1956 2282 2934 3314 3423 4401 4564 4971 5868 6628 6846 8802 9942 10269 11599 13692 14913 17604 19884 20538 23198 29826 30807 34797 41076 44739 46396 59652 61614 69594 89478 104391 123228 139188 178956 208782 270091 313173 417564 540182 626346 810273 1080364 1252692 1620546 1890637 2430819 3241092 3781274 4861638 5671911 7292457 7562548 9723276 11343822 14584914 17015733 22687644 29169828 34031466 51047199 68062932 102094398 204188796