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11429808 = 2431321409
BaseRepresentation
bin101011100110…
…011110110000
3210111200202020
4223212132300
510411223213
61044551440
7166103025
oct53463660
923450666
1011429808
1164a7425
1239b2580
1324a2600
14173754c
15100b923
hexae67b0

11429808 has 60 divisors (see below), whose sum is σ = 31995720. Its totient is φ = 3514368.

The previous prime is 11429783. The next prime is 11429813. The reversal of 11429808 is 80892411.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 7408 + ... + 8816.

It is an arithmetic number, because the mean of its divisors is an integer number (533262).

Almost surely, 211429808 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 11429808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15997860).

11429808 is an abundant number, since it is smaller than the sum of its proper divisors (20565912).

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

11429808 is a wasteful number, since it uses less digits than its factorization.

11429808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1446 (or 1427 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 33.

The square root of 11429808 is about 3380.7999053478. The cubic root of 11429808 is about 225.2576997971.

The spelling of 11429808 in words is "eleven million, four hundred twenty-nine thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 169 208 312 338 507 624 676 1014 1352 1409 2028 2704 2818 4056 4227 5636 8112 8454 11272 16908 18317 22544 33816 36634 54951 67632 73268 109902 146536 219804 238121 293072 439608 476242 714363 879216 952484 1428726 1904968 2857452 3809936 5714904 11429808