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29028200 = 2352197639
BaseRepresentation
bin110111010111…
…0111101101000
32000121210012112
41232232331220
524412400300
62514101452
7501510215
oct156567550
960553175
1029028200
1115427353
12987a888
136024866
143bd8b0c
152835e35
hex1baef68

29028200 has 48 divisors (see below), whose sum is σ = 71052000. Its totient is φ = 10998720.

The previous prime is 29028199. The next prime is 29028203. The reversal of 29028200 is 282092.

It is not an unprimeable number, because it can be changed into a prime (29028203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20 + ... + 7619.

It is an arithmetic number, because the mean of its divisors is an integer number (1480250).

Almost surely, 229028200 is an apocalyptic number.

29028200 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 29028200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35526000).

29028200 is an abundant number, since it is smaller than the sum of its proper divisors (42023800).

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

29028200 is a wasteful number, since it uses less digits than its factorization.

29028200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7674 (or 7665 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 29028200 is about 5387.7824751933. The cubic root of 29028200 is about 307.3312357485.

The spelling of 29028200 in words is "twenty-nine million, twenty-eight thousand, two hundred".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 152 190 200 380 475 760 950 1900 3800 7639 15278 30556 38195 61112 76390 145141 152780 190975 290282 305560 381950 580564 725705 763900 1161128 1451410 1527800 2902820 3628525 5805640 7257050 14514100 29028200