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55973808 = 24331111779
BaseRepresentation
bin1101010110000…
…1011110110000
310220022202122000
43111201132300
5103312130213
65315414000
71246524642
oct325413660
9126282560
1055973808
1129660a50
12168b4300
13b79a4c7
147610892
154da9c73
hex35617b0

55973808 has 80 divisors (see below), whose sum is σ = 175286400. Its totient is φ = 16960320.

The previous prime is 55973779. The next prime is 55973839. The reversal of 55973808 is 80837955.

55973808 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1138 + ... + 10641.

It is an arithmetic number, because the mean of its divisors is an integer number (2191080).

Almost surely, 255973808 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 55973808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87643200).

55973808 is an abundant number, since it is smaller than the sum of its proper divisors (119312592).

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

55973808 is a wasteful number, since it uses less digits than its factorization.

55973808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11807 (or 11795 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The square root of 55973808 is about 7481.5645422599. The cubic root of 55973808 is about 382.5265802367.

The spelling of 55973808 in words is "fifty-five million, nine hundred seventy-three thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 88 99 108 132 144 176 198 216 264 297 396 432 528 594 792 1188 1584 2376 4752 11779 23558 35337 47116 70674 94232 106011 129569 141348 188464 212022 259138 282696 318033 388707 424044 518276 565392 636066 777414 848088 1036552 1166121 1272132 1554828 1696176 2073104 2332242 2544264 3109656 3498363 4664484 5088528 6219312 6996726 9328968 13993452 18657936 27986904 55973808