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11483904 = 28319787
BaseRepresentation
bin101011110011…
…101100000000
3210121102221210
4223303230000
510414441104
61050050120
7166416525
oct53635400
923542853
1011483904
116534033
123a19940
1324c1113
14174d14c
15101c989
hexaf3b00

11483904 has 72 divisors (see below), whose sum is σ = 32213440. Its totient is φ = 3621888.

The previous prime is 11483893. The next prime is 11483909. The reversal of 11483904 is 40938411.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (11483909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14199 + ... + 14985.

Almost surely, 211483904 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 11483904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16106720).

11483904 is an abundant number, since it is smaller than the sum of its proper divisors (20729536).

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

11483904 is an equidigital number, since it uses as much as digits as its factorization.

11483904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 825 (or 811 counting only the distinct ones).

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

The square root of 11483904 is about 3388.7909348321. The cubic root of 11483904 is about 225.6125137669.

The spelling of 11483904 in words is "eleven million, four hundred eighty-three thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 256 304 384 456 608 768 787 912 1216 1574 1824 2361 2432 3148 3648 4722 4864 6296 7296 9444 12592 14592 14953 18888 25184 29906 37776 44859 50368 59812 75552 89718 100736 119624 151104 179436 201472 239248 302208 358872 478496 604416 717744 956992 1435488 1913984 2870976 3827968 5741952 11483904