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858052900 = 225217683739
BaseRepresentation
bin110011001001001…
…101100100100100
32012210120121022001
4303021031210210
53224130143100
6221051015044
730156220645
oct6311154444
92183517261
10858052900
11400391931
121bb43a484
131089ca813
1481d5b6cc
15504e2d6a
hex3324d924

858052900 has 72 divisors (see below), whose sum is σ = 1977060960. Its totient is φ = 322122240.

The previous prime is 858052861. The next prime is 858052907. The reversal of 858052900 is 9250858.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 858052900.

It is not an unprimeable number, because it can be changed into a prime (858052907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1160731 + ... + 1161469.

It is an arithmetic number, because the mean of its divisors is an integer number (27459180).

Almost surely, 2858052900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 858052900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (988530480).

858052900 is an abundant number, since it is smaller than the sum of its proper divisors (1119008060).

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

858052900 is a wasteful number, since it uses less digits than its factorization.

858052900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1453 (or 1446 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 37.

The square root of 858052900 is about 29292.5400059469. The cubic root of 858052900 is about 950.2503126181.

The spelling of 858052900 in words is "eight hundred fifty-eight million, fifty-two thousand, nine hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 683 739 850 1366 1478 1700 2732 2956 3415 3695 6830 7390 11611 12563 13660 14780 17075 18475 23222 25126 34150 36950 46444 50252 58055 62815 68300 73900 116110 125630 232220 251260 290275 314075 504737 580550 628150 1009474 1161100 1256300 2018948 2523685 5047370 8580529 10094740 12618425 17161058 25236850 34322116 42902645 50473700 85805290 171610580 214513225 429026450 858052900