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55899072 = 263441263
BaseRepresentation
bin1101010100111…
…1001111000000
310220011222010000
43111033033000
5103302232242
65314040000
71246064025
oct325171700
9126158100
1055899072
112960a889
1216879000
13b772498
1475d154c
154d92a4c
hex354f3c0

55899072 has 140 divisors (see below), whose sum is σ = 170389296. Its totient is φ = 18109440.

The previous prime is 55899071. The next prime is 55899091. The reversal of 55899072 is 27099855.

It is a happy number.

55899072 is a `hidden beast` number, since 558 + 9 + 90 + 7 + 2 = 666.

55899072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×558990722 = 6249412500922368, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55899071) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 212413 + ... + 212675.

Almost surely, 255899072 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 55899072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85194648).

55899072 is an abundant number, since it is smaller than the sum of its proper divisors (114490224).

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

55899072 is a wasteful number, since it uses less digits than its factorization.

55899072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The square root of 55899072 is about 7476.5681967063. The cubic root of 55899072 is about 382.3562550988.

The spelling of 55899072 in words is "fifty-five million, eight hundred ninety-nine thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 41 48 54 64 72 81 82 96 108 123 144 162 164 192 216 246 263 288 324 328 369 432 492 526 576 648 656 738 789 864 984 1052 1107 1296 1312 1476 1578 1728 1968 2104 2214 2367 2592 2624 2952 3156 3321 3936 4208 4428 4734 5184 5904 6312 6642 7101 7872 8416 8856 9468 10783 11808 12624 13284 14202 16832 17712 18936 21303 21566 23616 25248 26568 28404 32349 35424 37872 42606 43132 50496 53136 56808 64698 70848 75744 85212 86264 97047 106272 113616 129396 151488 170424 172528 194094 212544 227232 258792 291141 340848 345056 388188 454464 517584 582282 681696 690112 776376 873423 1035168 1164564 1363392 1552752 1746846 2070336 2329128 3105504 3493692 4658256 6211008 6987384 9316512 13974768 18633024 27949536 55899072