Search a number
-
+
55800888 = 233111371229
BaseRepresentation
bin1101010011011…
…1010000111000
310212222222102120
43110313100320
5103241112023
65312001240
71245204543
oct324672070
9125888376
1055800888
1129553040
1216830220
13b7398a0
1475a785a
154d738e3
hex3537438

55800888 has 128 divisors (see below), whose sum is σ = 166924800. Its totient is φ = 15321600.

The previous prime is 55800887. The next prime is 55800911. The reversal of 55800888 is 88800855.

55800888 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 2×558008882 = 6227478203177088, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55800881) 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 31 ways as a sum of consecutive naturals, for example, 243558 + ... + 243786.

It is an arithmetic number, because the mean of its divisors is an integer number (1304100).

Almost surely, 255800888 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 55800888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83462400).

55800888 is an abundant number, since it is smaller than the sum of its proper divisors (111123912).

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

55800888 is a wasteful number, since it uses less digits than its factorization.

55800888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 42.

The square root of 55800888 is about 7469.9991967871. Note that the first 3 decimals coincide. The cubic root of 55800888 is about 382.1322605166.

It can be divided in two parts, 558008 and 88, that added together give a triangular number (558096 = T1056).

The spelling of 55800888 in words is "fifty-five million, eight hundred thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 11 12 13 22 24 26 33 39 44 52 66 71 78 88 104 132 142 143 156 213 229 264 284 286 312 426 429 458 568 572 687 781 852 858 916 923 1144 1374 1562 1704 1716 1832 1846 2343 2519 2748 2769 2977 3124 3432 3692 4686 5038 5496 5538 5954 6248 7384 7557 8931 9372 10076 10153 11076 11908 15114 16259 17862 18744 20152 20306 22152 23816 30228 30459 32518 32747 35724 40612 48777 60456 60918 65036 65494 71448 81224 97554 98241 121836 130072 130988 178849 195108 196482 211367 243672 261976 357698 390216 392964 422734 536547 634101 715396 785928 845468 1073094 1268202 1430792 1690936 2146188 2325037 2536404 4292376 4650074 5072808 6975111 9300148 13950222 18600296 27900444 55800888