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29243280 = 24351121953
BaseRepresentation
bin110111110001…
…1011110010000
32001000201020110
41233203132100
524441241110
62522441320
7503364243
oct157433620
961021213
1029243280
1115563a00
129963240
13609b721
143c5325a
152879a20
hex1be3790

29243280 has 240 divisors, whose sum is σ = 106868160. Its totient is φ = 6589440.

The previous prime is 29243251. The next prime is 29243303. The reversal of 29243280 is 8234292.

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 551734 + ... + 551786.

It is an arithmetic number, because the mean of its divisors is an integer number (445284).

Almost surely, 229243280 is an apocalyptic number.

29243280 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29243280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53434080).

29243280 is an abundant number, since it is smaller than the sum of its proper divisors (77624880).

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

29243280 is a wasteful number, since it uses less digits than its factorization.

29243280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 29243280 is about 5407.7056132892. The cubic root of 29243280 is about 308.0884099940.

The spelling of 29243280 in words is "twenty-nine million, two hundred forty-three thousand, two hundred eighty".