Search a number
-
+
12828552 = 2331148593
BaseRepresentation
bin110000111011…
…111110001000
3220010202110120
4300323332020
511241003202
61134543240
7214020012
oct60737610
926122416
1012828552
117272310
124367b20
132872179
1419bd1b2
1511d60bc
hexc3bf88

12828552 has 32 divisors (see below), whose sum is σ = 34987680. Its totient is φ = 3887360.

The previous prime is 12828539. The next prime is 12828559. The reversal of 12828552 is 25582821.

It is a super-3 number, since 3×128285523 (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (12828559) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24033 + ... + 24560.

It is an arithmetic number, because the mean of its divisors is an integer number (1093365).

Almost surely, 212828552 is an apocalyptic number.

12828552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12828552 is an abundant number, since it is smaller than the sum of its proper divisors (22159128).

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

12828552 is a wasteful number, since it uses less digits than its factorization.

12828552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48613 (or 48609 counting only the distinct ones).

The product of its digits is 12800, while the sum is 33.

The square root of 12828552 is about 3581.6968045886. The cubic root of 12828552 is about 234.0952202144.

It can be divided in two parts, 128 and 28552, that added together give a triangular number (28680 = T239).

The spelling of 12828552 in words is "twelve million, eight hundred twenty-eight thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 48593 97186 145779 194372 291558 388744 534523 583116 1069046 1166232 1603569 2138092 3207138 4276184 6414276 12828552