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550368 = 25337213
BaseRepresentation
bin10000110010111100000
31000221222000
42012113200
5120102433
615444000
74451400
oct2062740
91027860
10550368
11346555
12226600
13163680
14104800
15ad113
hex865e0

550368 has 144 divisors (see below), whose sum is σ = 2010960. Its totient is φ = 145152.

The previous prime is 550351. The next prime is 550369. The reversal of 550368 is 863055.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (550369) by changing a digit.

550368 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42330 + ... + 42342.

It is an arithmetic number, because the mean of its divisors is an integer number (13965).

2550368 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 550368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1005480).

550368 is an abundant number, since it is smaller than the sum of its proper divisors (1460592).

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

550368 is a wasteful number, since it uses less digits than its factorization.

550368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 550368 is about 741.8679127715. The cubic root of 550368 is about 81.9503963332.

The spelling of 550368 in words is "five hundred fifty thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 27 28 32 36 39 42 48 49 52 54 56 63 72 78 84 91 96 98 104 108 112 117 126 144 147 156 168 182 189 196 208 216 224 234 252 273 288 294 312 336 351 364 378 392 416 432 441 468 504 546 588 624 637 672 702 728 756 784 819 864 882 936 1008 1092 1176 1248 1274 1323 1404 1456 1512 1568 1638 1764 1872 1911 2016 2184 2352 2457 2548 2646 2808 2912 3024 3276 3528 3744 3822 4368 4704 4914 5096 5292 5616 5733 6048 6552 7056 7644 8736 9828 10192 10584 11232 11466 13104 14112 15288 17199 19656 20384 21168 22932 26208 30576 34398 39312 42336 45864 61152 68796 78624 91728 137592 183456 275184 550368