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12312552 = 233783883
BaseRepresentation
bin101110111101…
…111111101000
3212011112122110
4232331333220
511123000202
61115522320
7206440440
oct56757750
925145573
1012312552
116a4a66a
1241593a0
132721345
1418c7120
15113326c
hexbbdfe8

12312552 has 64 divisors (see below), whose sum is σ = 35642880. Its totient is φ = 3471552.

The previous prime is 12312511. The next prime is 12312557. The reversal of 12312552 is 25521321.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (12312557) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13503 + ... + 14385.

It is an arithmetic number, because the mean of its divisors is an integer number (556920).

Almost surely, 212312552 is an apocalyptic number.

12312552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12312552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17821440).

12312552 is an abundant number, since it is smaller than the sum of its proper divisors (23330328).

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

12312552 is a wasteful number, since it uses less digits than its factorization.

12312552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 982 (or 978 counting only the distinct ones).

The product of its digits is 600, while the sum is 21.

The square root of 12312552 is about 3508.9246215899. The cubic root of 12312552 is about 230.9135187227.

Adding to 12312552 its reverse (25521321), we get a palindrome (37833873).

The spelling of 12312552 in words is "twelve million, three hundred twelve thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 83 84 166 168 249 332 498 581 664 883 996 1162 1743 1766 1992 2324 2649 3486 3532 4648 5298 6181 6972 7064 10596 12362 13944 18543 21192 24724 37086 49448 73289 74172 146578 148344 219867 293156 439734 513023 586312 879468 1026046 1539069 1758936 2052092 3078138 4104184 6156276 12312552