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204292088 = 237111397263
BaseRepresentation
bin11000010110100…
…11111111111000
3112020102010001122
430023103333320
5404244321323
632134404412
75030311520
oct1413237770
9466363048
10204292088
11a5354740
1258500708
133342aac0
141d1bc680
1512e05ec8
hexc2d3ff8

204292088 has 128 divisors (see below), whose sum is σ = 521579520. Its totient is φ = 72437760.

The previous prime is 204292087. The next prime is 204292093. The reversal of 204292088 is 880292402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204292087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 776645 + ... + 776907.

It is an arithmetic number, because the mean of its divisors is an integer number (4074840).

Almost surely, 2204292088 is an apocalyptic number.

204292088 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204292088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260789760).

204292088 is an abundant number, since it is smaller than the sum of its proper divisors (317287432).

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

204292088 is a wasteful number, since it uses less digits than its factorization.

204292088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 35.

The square root of 204292088 is about 14293.0783248396. The cubic root of 204292088 is about 588.9573541589.

It can be divided in two parts, 204 and 292088, that added together give a palindrome (292292).

The spelling of 204292088 in words is "two hundred four million, two hundred ninety-two thousand, eighty-eight".

Divisors: 1 2 4 7 8 11 13 14 22 26 28 44 52 56 77 88 91 97 104 143 154 182 194 263 286 308 364 388 526 572 616 679 728 776 1001 1052 1067 1144 1261 1358 1841 2002 2104 2134 2522 2716 2893 3419 3682 4004 4268 5044 5432 5786 6838 7364 7469 8008 8536 8827 10088 11572 13676 13871 14728 14938 17654 20251 23144 23933 25511 27352 27742 29876 35308 37609 40502 47866 51022 55484 59752 70616 75218 81004 95732 97097 102044 110968 150436 162008 178577 191464 194194 204088 263263 280621 300872 331643 357154 388388 526526 561242 663286 714308 776776 1053052 1122484 1326572 1428616 1964347 2106104 2244968 2321501 2653144 3648073 3928694 4643002 7296146 7857388 9286004 14592292 15714776 18572008 25536511 29184584 51073022 102146044 204292088