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412096 = 2647137
BaseRepresentation
bin1100100100111000000
3202221021211
41210213000
5101141341
612455504
73334306
oct1444700
9687254
10412096
11261683
1217a594
13115759
14aa276
1582181
hex649c0

412096 has 28 divisors (see below), whose sum is σ = 841248. Its totient is φ = 200192.

The previous prime is 412081. The next prime is 412099. The reversal of 412096 is 690214.

It is a super-2 number, since 2×4120962 = 339646226432, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412099) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2940 + ... + 3076.

2412096 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 412096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420624).

412096 is an abundant number, since it is smaller than the sum of its proper divisors (429152).

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

412096 is a wasteful number, since it uses less digits than its factorization.

412096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 412096 is about 641.9470383139. The cubic root of 412096 is about 74.4159675907.

It can be divided in two parts, 4 and 12096, that multiplied together give a palindrome (48384).

The spelling of 412096 in words is "four hundred twelve thousand, ninety-six".

Divisors: 1 2 4 8 16 32 47 64 94 137 188 274 376 548 752 1096 1504 2192 3008 4384 6439 8768 12878 25756 51512 103024 206048 412096