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12008528 = 247217253
BaseRepresentation
bin101101110011…
…110001010000
3211121002121022
4231303301100
511033233103
61105215012
7204033200
oct55636120
924532538
1012008528
116862204
124031468
132645b4c
141848400
1510c3138
hexb73c50

12008528 has 90 divisors (see below), whose sum is σ = 29293326. Its totient is φ = 4752384.

The previous prime is 12008519. The next prime is 12008533. The reversal of 12008528 is 82580021.

12008528 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 6210064 + 5798464 = 2492^2 + 2408^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12008497 and 12008506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 226550 + ... + 226602.

Almost surely, 212008528 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 12008528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14646663).

12008528 is an abundant number, since it is smaller than the sum of its proper divisors (17284798).

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

12008528 is a wasteful number, since it uses less digits than its factorization.

12008528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 26.

The square root of 12008528 is about 3465.3323072975. The cubic root of 12008528 is about 228.9970696853.

Adding to 12008528 its reverse (82580021), we get a palindrome (94588549).

The spelling of 12008528 in words is "twelve million, eight thousand, five hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 17 28 34 49 53 56 68 98 106 112 119 136 196 212 238 272 289 371 392 424 476 578 742 784 833 848 901 952 1156 1484 1666 1802 1904 2023 2312 2597 2968 3332 3604 4046 4624 5194 5936 6307 6664 7208 8092 10388 12614 13328 14161 14416 15317 16184 20776 25228 28322 30634 32368 41552 44149 50456 56644 61268 88298 100912 107219 113288 122536 176596 214438 226576 245072 353192 428876 706384 750533 857752 1501066 1715504 3002132 6004264 12008528