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536127228 = 223372137793
BaseRepresentation
bin11111111101001…
…010011011111100
31101100211002022000
4133331022123330
52044222032403
6125111022300
716200002100
oct3775123374
91340732260
10536127228
112556a235a
1212b66a990
13870c3c60
14512bb900
15321027a3
hex1ff4a6fc

536127228 has 144 divisors (see below), whose sum is σ = 1741491360. Its totient is φ = 141378048.

The previous prime is 536127209. The next prime is 536127269. The reversal of 536127228 is 822721635.

536127228 is a `hidden beast` number, since 5 + 361 + 272 + 28 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 536127192 and 536127201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 64900 + ... + 72692.

It is an arithmetic number, because the mean of its divisors is an integer number (12093690).

Almost surely, 2536127228 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 536127228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (870745680).

536127228 is an abundant number, since it is smaller than the sum of its proper divisors (1205364132).

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

536127228 is a wasteful number, since it uses less digits than its factorization.

536127228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7833 (or 7818 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 536127228 is about 23154.4213488483. The cubic root of 536127228 is about 812.3738864774.

The spelling of 536127228 in words is "five hundred thirty-six million, one hundred twenty-seven thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 27 28 36 39 42 49 52 54 63 78 84 91 98 108 117 126 147 156 182 189 196 234 252 273 294 351 364 378 441 468 546 588 637 702 756 819 882 1092 1274 1323 1404 1638 1764 1911 2457 2548 2646 3276 3822 4914 5292 5733 7644 7793 9828 11466 15586 17199 22932 23379 31172 34398 46758 54551 68796 70137 93516 101309 109102 140274 163653 202618 210411 218204 280548 303927 327306 381857 405236 420822 490959 607854 654612 709163 763714 841644 911781 981918 1145571 1215708 1418326 1472877 1527428 1823562 1963836 2127489 2291142 2735343 2836652 2945754 3436713 3647124 4254978 4582284 4964141 5470686 5891508 6382467 6873426 8509956 9928282 10310139 10941372 12764934 13746852 14892423 19147401 19856564 20620278 25529868 29784846 38294802 41240556 44677269 59569692 76589604 89354538 134031807 178709076 268063614 536127228