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5555328 = 273172337
BaseRepresentation
bin10101001100010010000000
3101110020110220
4111030102000
52410232303
6315023040
765135202
oct25142200
911406426
105555328
113154889
121a3aa80
1311c679c
14a48772
1574b053
hex54c480

5555328 has 128 divisors (see below), whose sum is σ = 16744320. Its totient is φ = 1622016.

The previous prime is 5555323. The next prime is 5555339. The reversal of 5555328 is 8235555.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (5555321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 150126 + ... + 150162.

It is an arithmetic number, because the mean of its divisors is an integer number (130815).

Almost surely, 25555328 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 5555328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8372160).

5555328 is an abundant number, since it is smaller than the sum of its proper divisors (11188992).

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

5555328 is a wasteful number, since it uses less digits than its factorization.

5555328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 82 counting only the distinct ones).

The product of its digits is 30000, while the sum is 33.

The square root of 5555328 is about 2356.9743316379. The cubic root of 5555328 is about 177.1073433588.

The spelling of 5555328 in words is "five million, five hundred fifty-five thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 23 24 32 34 37 46 48 51 64 68 69 74 92 96 102 111 128 136 138 148 184 192 204 222 272 276 296 368 384 391 408 444 544 552 592 629 736 782 816 851 888 1088 1104 1173 1184 1258 1472 1564 1632 1702 1776 1887 2176 2208 2346 2368 2516 2553 2944 3128 3264 3404 3552 3774 4416 4692 4736 5032 5106 6256 6528 6808 7104 7548 8832 9384 10064 10212 12512 13616 14208 14467 15096 18768 20128 20424 25024 27232 28934 30192 37536 40256 40848 43401 50048 54464 57868 60384 75072 80512 81696 86802 108928 115736 120768 150144 163392 173604 231472 241536 326784 347208 462944 694416 925888 1388832 1851776 2777664 5555328