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12468528 = 243286587
BaseRepresentation
bin101111100100…
…000100110000
3212110110121100
4233210010300
511142443103
61123124400
7210660252
oct57440460
925413540
1012468528
117046876
124213700
132777337
141927cd2
1511645a3
hexbe4130

12468528 has 30 divisors (see below), whose sum is σ = 34894964. Its totient is φ = 4156128.

The previous prime is 12468457. The next prime is 12468557. The reversal of 12468528 is 82586421.

12468528 is a `hidden beast` number, since 124 + 6 + 8 + 528 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 12468492 and 12468501.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 43150 + ... + 43437.

Almost surely, 212468528 is an apocalyptic number.

12468528 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12468528 is an abundant number, since it is smaller than the sum of its proper divisors (22426436).

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

12468528 is a wasteful number, since it uses less digits than its factorization.

12468528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86601 (or 86592 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The square root of 12468528 is about 3531.0802879572. The cubic root of 12468528 is about 231.8845045423.

It can be divided in two parts, 12468 and 528, that added together give a square (12996 = 1142).

The spelling of 12468528 in words is "twelve million, four hundred sixty-eight thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 86587 173174 259761 346348 519522 692696 779283 1039044 1385392 1558566 2078088 3117132 4156176 6234264 12468528