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29390848 = 211113127
BaseRepresentation
bin111000000011…
…1100000000000
32001022012122221
41300013200000
530011001343
62525540424
7504550414
oct160074000
961265587
1029390848
1115654863
129a14714
136120946
143c90d44
1528a85ed
hex1c07800

29390848 has 48 divisors (see below), whose sum is σ = 59754240. Its totient is φ = 14450688.

The previous prime is 29390843. The next prime is 29390861. The reversal of 29390848 is 84809392.

It is a happy number.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29390843) by changing a digit.

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, 231361 + ... + 231487.

It is an arithmetic number, because the mean of its divisors is an integer number (1244880).

Almost surely, 229390848 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 29390848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29877120).

29390848 is an abundant number, since it is smaller than the sum of its proper divisors (30363392).

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

29390848 is a wasteful number, since it uses less digits than its factorization.

29390848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 43.

The square root of 29390848 is about 5421.3326774881. The cubic root of 29390848 is about 308.6057679466.

The spelling of 29390848 in words is "twenty-nine million, three hundred ninety thousand, eight hundred forty-eight".

Divisors: 1 2 4 8 16 32 64 113 127 128 226 254 256 452 508 512 904 1016 1024 1808 2032 2048 3616 4064 7232 8128 14351 14464 16256 28702 28928 32512 57404 57856 65024 114808 115712 130048 229616 231424 260096 459232 918464 1836928 3673856 7347712 14695424 29390848