Search a number
-
+
29428096 = 271491543
BaseRepresentation
bin111000001000…
…0100110000000
32001101002202111
41300100212000
530013144341
62530425104
7505064125
oct160204600
961332674
1029428096
111567a845
129a32194
136134899
143ca074c
1528b4681
hex1c10980

29428096 has 32 divisors (see below), whose sum is σ = 59058000. Its totient is φ = 14605824.

The previous prime is 29428051. The next prime is 29428121. The reversal of 29428096 is 69082492.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is an unprimeable number.

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, 18301 + ... + 19843.

Almost surely, 229428096 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 29428096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29529000).

29428096 is an abundant number, since it is smaller than the sum of its proper divisors (29629904).

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

29428096 is a wasteful number, since it uses less digits than its factorization.

29428096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1706 (or 1694 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 40.

The square root of 29428096 is about 5424.7669074348. The cubic root of 29428096 is about 308.7360816992.

The spelling of 29428096 in words is "twenty-nine million, four hundred twenty-eight thousand, ninety-six".

Divisors: 1 2 4 8 16 32 64 128 149 298 596 1192 1543 2384 3086 4768 6172 9536 12344 19072 24688 49376 98752 197504 229907 459814 919628 1839256 3678512 7357024 14714048 29428096