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11924832 = 253314007
BaseRepresentation
bin101101011111…
…010101100000
3211102211210110
4231133111200
511023043312
61103331320
7203234163
oct55372540
924384713
1011924832
116805337
123bb0b40
132616a1a
141825ada
1510a843c
hexb5f560

11924832 has 48 divisors (see below), whose sum is σ = 32320512. Its totient is φ = 3845760.

The previous prime is 11924831. The next prime is 11924849. The reversal of 11924832 is 23842911.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 11924832.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11924831) 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 7 ways as a sum of consecutive naturals, for example, 973 + ... + 4979.

It is an arithmetic number, because the mean of its divisors is an integer number (673344).

Almost surely, 211924832 is an apocalyptic number.

11924832 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 11924832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16160256).

11924832 is an abundant number, since it is smaller than the sum of its proper divisors (20395680).

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

11924832 is a wasteful number, since it uses less digits than its factorization.

11924832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4051 (or 4043 counting only the distinct ones).

The product of its digits is 3456, while the sum is 30.

The square root of 11924832 is about 3453.2350050351. The cubic root of 11924832 is about 228.4638142227.

The spelling of 11924832 in words is "eleven million, nine hundred twenty-four thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 372 496 744 992 1488 2976 4007 8014 12021 16028 24042 32056 48084 64112 96168 124217 128224 192336 248434 372651 384672 496868 745302 993736 1490604 1987472 2981208 3974944 5962416 11924832