Search a number
-
+
11824428 = 22371167191
BaseRepresentation
bin101101000110…
…110100101100
3211020202001210
4231012310230
511011340203
61101234420
7202335360
oct55066454
924222053
1011824428
116746960
123b62a10
1325b0105
1417db2a0
151088803
hexb46d2c

11824428 has 96 divisors (see below), whose sum is σ = 35094528. Its totient is φ = 3009600.

The previous prime is 11824427. The next prime is 11824447. The reversal of 11824428 is 82442811.

11824428 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 11824395 and 11824404.

It is not an unprimeable number, because it can be changed into a prime (11824427) 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, 61813 + ... + 62003.

It is an arithmetic number, because the mean of its divisors is an integer number (365568).

Almost surely, 211824428 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 11824428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17547264).

11824428 is an abundant number, since it is smaller than the sum of its proper divisors (23270100).

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

11824428 is a wasteful number, since it uses less digits than its factorization.

11824428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 281 counting only the distinct ones).

The product of its digits is 4096, while the sum is 30.

The square root of 11824428 is about 3438.6666020421. Note that the first 4 decimals coincide. The cubic root of 11824428 is about 227.8208041046.

The spelling of 11824428 in words is "eleven million, eight hundred twenty-four thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 67 77 84 132 134 154 191 201 231 268 308 382 402 462 469 573 737 764 804 924 938 1146 1337 1407 1474 1876 2101 2211 2292 2674 2814 2948 4011 4202 4422 5159 5348 5628 6303 8022 8404 8844 10318 12606 12797 14707 15477 16044 20636 25212 25594 29414 30954 38391 44121 51188 58828 61908 76782 88242 89579 140767 153564 176484 179158 268737 281534 358316 422301 537474 563068 844602 985369 1074948 1689204 1970738 2956107 3941476 5912214 11824428