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29750 = 253717

29750 has 32 divisors (see below), whose sum is σ = 67392. Its totient is φ = 9600.

The previous prime is 29741. The next prime is 29753. The reversal of 29750 is 5792.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29753) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1742 + ... + 1758.

It is an arithmetic number, because the mean of its divisors is an integer number (2106).

229750 is an apocalyptic number.

29750 is an abundant number, since it is smaller than the sum of its proper divisors (37642).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33696).

29750 is a wasteful number, since it uses less digits than its factorization.

29750 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 23.

The square root of 29750 is about 172.4818831066. The cubic root of 29750 is about 30.9857721737.

The spelling of 29750 in words is "twenty-nine thousand, seven hundred fifty".

Divisors: 1 2 5 7 10 14 17 25 34 35 50 70 85 119 125 170 175 238 250 350 425 595 850 875 1190 1750 2125 2975 4250 5950 14875 29750