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29325040 = 245973779
BaseRepresentation
bin110111111011…
…1011011110000
32001011212101121
41233313123300
530001400130
62524312024
7504154513
oct157673360
961155347
1029325040
111560a378
1299a2614
1360c99c4
143c74d7a
152893d7a
hex1bf76f0

29325040 has 40 divisors (see below), whose sum is σ = 68901840. Its totient is φ = 11606016.

The previous prime is 29325019. The next prime is 29325041. The reversal of 29325040 is 4052392.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 29324996 and 29325014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29325041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5871 + ... + 9649.

It is an arithmetic number, because the mean of its divisors is an integer number (1722546).

Almost surely, 229325040 is an apocalyptic number.

29325040 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 29325040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34450920).

29325040 is an abundant number, since it is smaller than the sum of its proper divisors (39576800).

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

29325040 is a wasteful number, since it uses less digits than its factorization.

29325040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3889 (or 3883 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

The square root of 29325040 is about 5415.2599198930. The cubic root of 29325040 is about 308.3752664339.

The spelling of 29325040 in words is "twenty-nine million, three hundred twenty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 97 194 388 485 776 970 1552 1940 3779 3880 7558 7760 15116 18895 30232 37790 60464 75580 151160 302320 366563 733126 1466252 1832815 2932504 3665630 5865008 7331260 14662520 29325040