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53353008 = 24322389181
BaseRepresentation
bin1100101110000…
…1101000110000
310201101121120100
43023201220300
5102124244013
65143312400
71215331062
oct313415060
9121347510
1053353008
11281309a5
1215a4b700
13b090637
14712b732
154a3d473
hex32e1a30

53353008 has 120 divisors (see below), whose sum is σ = 158427360. Its totient is φ = 16727040.

The previous prime is 53352991. The next prime is 53353043. The reversal of 53353008 is 80035335.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 294678 + ... + 294858.

It is an arithmetic number, because the mean of its divisors is an integer number (1320228).

Almost surely, 253353008 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 53353008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79213680).

53353008 is an abundant number, since it is smaller than the sum of its proper divisors (105074352).

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

53353008 is a wasteful number, since it uses less digits than its factorization.

53353008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 53353008 is about 7304.3143415382. The cubic root of 53353008 is about 376.4606922874.

The spelling of 53353008 in words is "fifty-three million, three hundred fifty-three thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 36 46 48 69 72 89 92 138 144 178 181 184 207 267 276 356 362 368 414 534 543 552 712 724 801 828 1068 1086 1104 1424 1448 1602 1629 1656 2047 2136 2172 2896 3204 3258 3312 4094 4163 4272 4344 6141 6408 6516 8188 8326 8688 12282 12489 12816 13032 16109 16376 16652 18423 24564 24978 26064 32218 32752 33304 36846 37467 48327 49128 49956 64436 66608 73692 74934 96654 98256 99912 128872 144981 147384 149868 193308 199824 257744 289962 294768 299736 370507 386616 579924 599472 741014 773232 1111521 1159848 1482028 2223042 2319696 2964056 3334563 4446084 5928112 6669126 8892168 13338252 17784336 26676504 53353008