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29282320 = 245366029
BaseRepresentation
bin110111110110…
…1000000010000
32001002200210101
41233231000100
524444013240
62523342144
7503616124
oct157550020
961080711
1029282320
1115590271
129981954
1360b3422
143c63584
15288639a
hex1bed010

29282320 has 20 divisors (see below), whose sum is σ = 68081580. Its totient is φ = 11712896.

The previous prime is 29282311. The next prime is 29282327. The reversal of 29282320 is 2328292.

It can be written as a sum of positive squares in 2 ways, for example, as 23348224 + 5934096 = 4832^2 + 2436^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29282327) 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 3 ways as a sum of consecutive naturals, for example, 182935 + ... + 183094.

It is an arithmetic number, because the mean of its divisors is an integer number (3404079).

Almost surely, 229282320 is an apocalyptic number.

29282320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

29282320 is an abundant number, since it is smaller than the sum of its proper divisors (38799260).

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

29282320 is a wasteful number, since it uses less digits than its factorization.

29282320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366042 (or 366036 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 29282320 is about 5411.3140733097. The cubic root of 29282320 is about 308.2254491486.

The spelling of 29282320 in words is "twenty-nine million, two hundred eighty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 366029 732058 1464116 1830145 2928232 3660290 5856464 7320580 14641160 29282320