Search a number
-
+
429508096 = 292928927
BaseRepresentation
bin11001100110011…
…100011000000000
31002221012021100021
4121212130120000
51334423224341
6110341503224
713433521123
oct3146343000
91087167307
10429508096
1120049a876
12bba11b14
136aca3704
14410863ba
1527a919d1
hex1999c600

429508096 has 40 divisors (see below), whose sum is σ = 887800320. Its totient is φ = 207341568.

The previous prime is 429508081. The next prime is 429508109. The reversal of 429508096 is 690805924.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 385 + ... + 29311.

It is an arithmetic number, because the mean of its divisors is an integer number (22195008).

Almost surely, 2429508096 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 429508096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443900160).

429508096 is an abundant number, since it is smaller than the sum of its proper divisors (458292224).

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

429508096 is an equidigital number, since it uses as much as digits as its factorization.

429508096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28974 (or 28958 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 43.

The square root of 429508096 is about 20724.5771006310. The cubic root of 429508096 is about 754.4963065838.

The spelling of 429508096 in words is "four hundred twenty-nine million, five hundred eight thousand, ninety-six".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 256 464 512 928 1856 3712 7424 14848 28927 57854 115708 231416 462832 838883 925664 1677766 1851328 3355532 3702656 6711064 7405312 13422128 14810624 26844256 53688512 107377024 214754048 429508096