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55806192 = 24331319523
BaseRepresentation
bin1101010011100…
…0100011110000
310220000020201000
43110320203300
5103241244232
65312042000
71245226161
oct324704360
9126006630
1055806192
1129557022
1216833300
13b73c120
1475a9768
154d7527c
hex35388f0

55806192 has 160 divisors (see below), whose sum is σ = 181932800. Its totient is φ = 16236288.

The previous prime is 55806181. The next prime is 55806193. The reversal of 55806192 is 29160855.

It is a happy number.

It is a super-2 number, since 2×558061922 = 6228662131081728, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55806193) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 106443 + ... + 106965.

It is an arithmetic number, because the mean of its divisors is an integer number (1137080).

Almost surely, 255806192 is an apocalyptic number.

55806192 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55806192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90966400).

55806192 is an abundant number, since it is smaller than the sum of its proper divisors (126126608).

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

55806192 is a wasteful number, since it uses less digits than its factorization.

55806192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 572 (or 560 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 55806192 is about 7470.3542084696. The cubic root of 55806192 is about 382.1443676435.

The spelling of 55806192 in words is "fifty-five million, eight hundred six thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 19 24 26 27 36 38 39 48 52 54 57 72 76 78 104 108 114 117 144 152 156 171 208 216 228 234 247 304 312 342 351 432 456 468 494 513 523 624 684 702 741 912 936 988 1026 1046 1368 1404 1482 1569 1872 1976 2052 2092 2223 2736 2808 2964 3138 3952 4104 4184 4446 4707 5616 5928 6276 6669 6799 8208 8368 8892 9414 9937 11856 12552 13338 13598 14121 17784 18828 19874 20397 25104 26676 27196 28242 29811 35568 37656 39748 40794 53352 54392 56484 59622 61191 75312 79496 81588 89433 106704 108784 112968 119244 122382 129181 158992 163176 178866 183573 225936 238488 244764 258362 268299 326352 357732 367146 387543 476976 489528 516724 536598 715464 734292 775086 979056 1033448 1073196 1162629 1430928 1468584 1550172 2066896 2146392 2325258 2937168 3100344 3487887 4292784 4650516 6200688 6975774 9301032 13951548 18602064 27903096 55806192