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55065648 = 24311219499
BaseRepresentation
bin1101001000001…
…1110000110000
310211121121212110
43102003300300
5103044100043
65244125320
71236023151
oct322036060
9124547773
1055065648
11290a0700
1216536840
13b540031
147455928
154c7ab33
hex3483c30

55065648 has 120 divisors (see below), whose sum is σ = 164920000. Its totient is φ = 15776640.

The previous prime is 55065631. The next prime is 55065649. The reversal of 55065648 is 84656055.

It is a super-3 number, since 3×550656483 (a number of 24 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (55065649) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 110103 + ... + 110601.

Almost surely, 255065648 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 55065648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82460000).

55065648 is an abundant number, since it is smaller than the sum of its proper divisors (109854352).

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

55065648 is a wasteful number, since it uses less digits than its factorization.

55065648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 551 (or 534 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 39.

The square root of 55065648 is about 7420.6231544258. The cubic root of 55065648 is about 380.4464927180.

The spelling of 55065648 in words is "fifty-five million, sixty-five thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 24 33 38 44 48 57 66 76 88 114 121 132 152 176 209 228 242 264 304 363 418 456 484 499 528 627 726 836 912 968 998 1254 1452 1497 1672 1936 1996 2299 2508 2904 2994 3344 3992 4598 5016 5489 5808 5988 6897 7984 9196 9481 10032 10978 11976 13794 16467 18392 18962 21956 23952 27588 28443 32934 36784 37924 43912 55176 56886 60379 65868 75848 87824 104291 110352 113772 120758 131736 151696 181137 208582 227544 241516 263472 312873 362274 417164 455088 483032 625746 724548 834328 966064 1147201 1251492 1449096 1668656 2294402 2502984 2898192 3441603 4588804 5005968 6883206 9177608 13766412 18355216 27532824 55065648