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11282432 = 2117787
BaseRepresentation
bin101011000010…
…100000000000
3210020012120212
4223002200000
510342014212
61041453252
7164620250
oct53024000
923205525
1011282432
116406727
123941228
1324504c5
1416d9960
15ecce22
hexac2800

11282432 has 48 divisors (see below), whose sum is σ = 25814880. Its totient is φ = 4829184.

The previous prime is 11282399. The next prime is 11282459. The reversal of 11282432 is 23428211.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 11282398 and 11282407.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13943 + ... + 14729.

It is an arithmetic number, because the mean of its divisors is an integer number (537810).

Almost surely, 211282432 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 11282432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12907440).

11282432 is an abundant number, since it is smaller than the sum of its proper divisors (14532448).

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

11282432 is an frugal number, since it uses more digits than its factorization.

11282432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 816 (or 796 counting only the distinct ones).

The product of its digits is 768, while the sum is 23.

The square root of 11282432 is about 3358.9331639674. The cubic root of 11282432 is about 224.2853506270.

The spelling of 11282432 in words is "eleven million, two hundred eighty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 512 787 896 1024 1574 1792 2048 3148 3584 5509 6296 7168 11018 12592 14336 22036 25184 44072 50368 88144 100736 176288 201472 352576 402944 705152 805888 1410304 1611776 2820608 5641216 11282432