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12484256 = 251753433
BaseRepresentation
bin101111100111…
…111010100000
3212111021011212
4233213322200
511143444011
61123325252
7211054151
oct57477240
925437155
1012484256
117057674
124220828
132781545
14192d928
15116908b
hexbe7ea0

12484256 has 48 divisors (see below), whose sum is σ = 26576424. Its totient is φ = 5750784.

The previous prime is 12484253. The next prime is 12484259. The reversal of 12484256 is 65248421.

It is an interprime number because it is at equal distance from previous prime (12484253) and next prime (12484259).

It can be written as a sum of positive squares in 4 ways, for example, as 10995856 + 1488400 = 3316^2 + 1220^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12484253) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28616 + ... + 29048.

Almost surely, 212484256 is an apocalyptic number.

12484256 is a gapful number since it is divisible by the number (16) 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 12484256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13288212).

12484256 is an abundant number, since it is smaller than the sum of its proper divisors (14092168).

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

12484256 is a wasteful number, since it uses less digits than its factorization.

12484256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513 (or 505 counting only the distinct ones).

The product of its digits is 15360, while the sum is 32.

The square root of 12484256 is about 3533.3066665660. The cubic root of 12484256 is about 231.9819645116.

The spelling of 12484256 in words is "twelve million, four hundred eighty-four thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 17 32 34 53 68 106 136 212 272 424 433 544 848 866 901 1696 1732 1802 3464 3604 6928 7208 7361 13856 14416 14722 22949 28832 29444 45898 58888 91796 117776 183592 235552 367184 390133 734368 780266 1560532 3121064 6242128 12484256