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204277248 = 293372111
BaseRepresentation
bin11000010110100…
…00011000000000
3112020101100201000
430023100120000
5404243332443
632134212000
75030220330
oct1413203000
9466340630
10204277248
11a534457a
12584b4000
1333424116
141d1b70c0
1512e018d3
hexc2d0600

204277248 has 160 divisors (see below), whose sum is σ = 691384320. Its totient is φ = 58337280.

The previous prime is 204277243. The next prime is 204277267. The reversal of 204277248 is 842772402.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204277243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95713 + ... + 97823.

It is an arithmetic number, because the mean of its divisors is an integer number (4321152).

Almost surely, 2204277248 is an apocalyptic number.

204277248 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 204277248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345692160).

204277248 is an abundant number, since it is smaller than the sum of its proper divisors (487107072).

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

204277248 is an equidigital number, since it uses as much as digits as its factorization.

204277248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2145 (or 2123 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 36.

The square root of 204277248 is about 14292.5591830155. The cubic root of 204277248 is about 588.9430929788.

The spelling of 204277248 in words is "two hundred four million, two hundred seventy-seven thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 128 144 168 189 192 216 224 252 256 288 336 378 384 432 448 504 512 576 672 756 768 864 896 1008 1152 1344 1512 1536 1728 1792 2016 2111 2304 2688 3024 3456 3584 4032 4222 4608 5376 6048 6333 6912 8064 8444 10752 12096 12666 13824 14777 16128 16888 18999 24192 25332 29554 32256 33776 37998 44331 48384 50664 56997 59108 67552 75996 88662 96768 101328 113994 118216 132993 135104 151992 177324 202656 227988 236432 265986 270208 303984 354648 398979 405312 455976 472864 531972 540416 607968 709296 797958 810624 911952 945728 1063944 1080832 1215936 1418592 1595916 1621248 1823904 1891456 2127888 2431872 2837184 3191832 3242496 3647808 3782912 4255776 4863744 5674368 6383664 7295616 7565824 8511552 9727488 11348736 12767328 14591232 17023104 22697472 25534656 29182464 34046208 51069312 68092416 102138624 204277248