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12528432 = 243471381
BaseRepresentation
bin101111110010…
…101100110000
3212120111210000
4233302230300
511201402212
61124310000
7211330020
oct57625460
925514700
1012528432
117087884
124242300
132798697
141941a80
1511771dc
hexbf2b30

12528432 has 100 divisors (see below), whose sum is σ = 41471056. Its totient is φ = 3576960.

The previous prime is 12528431. The next prime is 12528449. The reversal of 12528432 is 23482521.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 12528396 and 12528405.

It is not an unprimeable number, because it can be changed into a prime (12528431) 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 19 ways as a sum of consecutive naturals, for example, 8382 + ... + 9762.

Almost surely, 212528432 is an apocalyptic number.

12528432 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 12528432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20735528).

12528432 is an abundant number, since it is smaller than the sum of its proper divisors (28942624).

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

12528432 is a wasteful number, since it uses less digits than its factorization.

12528432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1408 (or 1393 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 12528432 is about 3539.5525140899. The cubic root of 12528432 is about 232.2552679771.

It can be divided in two parts, 125284 and 32, that added together give a square (125316 = 3542).

The spelling of 12528432 in words is "twelve million, five hundred twenty-eight thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 81 84 108 112 126 144 162 168 189 216 252 324 336 378 432 504 567 648 756 1008 1134 1296 1381 1512 2268 2762 3024 4143 4536 5524 8286 9072 9667 11048 12429 16572 19334 22096 24858 29001 33144 37287 38668 49716 58002 66288 74574 77336 87003 99432 111861 116004 149148 154672 174006 198864 223722 232008 261009 298296 348012 447444 464016 522018 596592 696024 783027 894888 1044036 1392048 1566054 1789776 2088072 3132108 4176144 6264216 12528432