Search a number
-
+
5628742236 = 223213412331259
BaseRepresentation
bin1010011110111111…
…11100101001011100
3112112021110201202200
411033133330221130
543011424222421
62330311251500
7256325343135
oct51737745134
915467421680
105628742236
112429307397
121111079b90
136b91abb10
143b57aac8c
1522e250726
hex14f7fca5c

5628742236 has 144 divisors (see below), whose sum is σ = 15776298720. Its totient is φ = 1681090560.

The previous prime is 5628742219. The next prime is 5628742237. The reversal of 5628742236 is 6322478265.

5628742236 is a `hidden beast` number, since 562 + 87 + 4 + 2 + 2 + 3 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 5628742191 and 5628742200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5628742237) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4470175 + ... + 4471433.

It is an arithmetic number, because the mean of its divisors is an integer number (109557630).

Almost surely, 25628742236 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 5628742236, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7888149360).

5628742236 is an abundant number, since it is smaller than the sum of its proper divisors (10147556484).

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

5628742236 is a wasteful number, since it uses less digits than its factorization.

5628742236 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1556 (or 1551 counting only the distinct ones).

The product of its digits is 967680, while the sum is 45.

The square root of 5628742236 is about 75024.9440919485. The cubic root of 5628742236 is about 1778.8409569397.

It can be divided in two parts, 56287 and 42236, that multiplied together give a palindrome (2377337732).

The spelling of 5628742236 in words is "five billion, six hundred twenty-eight million, seven hundred forty-two thousand, two hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 41 52 78 82 117 123 156 164 233 234 246 369 466 468 492 533 699 738 932 1066 1259 1398 1476 1599 2097 2132 2518 2796 3029 3198 3777 4194 4797 5036 6058 6396 7554 8388 9087 9553 9594 11331 12116 15108 16367 18174 19106 19188 22662 27261 28659 32734 36348 38212 45324 49101 51619 54522 57318 65468 85977 98202 103238 109044 114636 124189 147303 154857 171954 196404 206476 248378 293347 294606 309714 343908 372567 464571 496756 586694 589212 619428 671047 745134 880041 929142 1117701 1173388 1342094 1490268 1760082 1858284 2013141 2235402 2640123 2684188 3520164 3813511 4026282 4470804 5280246 6039423 7627022 8052564 10560492 11440533 12027227 12078846 15254044 22881066 24054454 24157692 34321599 36081681 45762132 48108908 68643198 72163362 108245043 137286396 144326724 156353951 216490086 312707902 432980172 469061853 625415804 938123706 1407185559 1876247412 2814371118 5628742236