Search a number
-
+
12433728 = 263312089
BaseRepresentation
bin101111011011…
…100101000000
3212101200212110
4233123211000
511140334403
61122255320
7210453636
oct57334500
925350773
1012433728
11702270a
1241b7540
132764548
141919356
151159103
hexbdb940

12433728 has 56 divisors (see below), whose sum is σ = 33975040. Its totient is φ = 4008960.

The previous prime is 12433717. The next prime is 12433741. The reversal of 12433728 is 82733421.

12433728 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 = 12433695 and 12433704.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4908 + ... + 6996.

Almost surely, 212433728 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 12433728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16987520).

12433728 is an abundant number, since it is smaller than the sum of its proper divisors (21541312).

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

12433728 is a wasteful number, since it uses less digits than its factorization.

12433728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2135 (or 2125 counting only the distinct ones).

The product of its digits is 8064, while the sum is 30.

The square root of 12433728 is about 3526.1491743827. The cubic root of 12433728 is about 231.6685715444.

The spelling of 12433728 in words is "twelve million, four hundred thirty-three thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 186 192 248 372 496 744 992 1488 1984 2089 2976 4178 5952 6267 8356 12534 16712 25068 33424 50136 64759 66848 100272 129518 133696 194277 200544 259036 388554 401088 518072 777108 1036144 1554216 2072288 3108432 4144576 6216864 12433728