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2858900 = 22521123113
BaseRepresentation
bin1010111001111110010100
312101020200012
422321332110
51212441100
6141135352
733204662
oct12717624
95336605
102858900
111682a30
12b5a558
13791375
14545c32
153b7135
hex2b9f94

2858900 has 72 divisors (see below), whose sum is σ = 7124544. Its totient is φ = 985600.

The previous prime is 2858893. The next prime is 2858903. The reversal of 2858900 is 98582.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2858903) 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, 25244 + ... + 25356.

It is an arithmetic number, because the mean of its divisors is an integer number (98952).

22858900 is an apocalyptic number.

2858900 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 2858900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3562272).

2858900 is an abundant number, since it is smaller than the sum of its proper divisors (4265644).

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

2858900 is a wasteful number, since it uses less digits than its factorization.

2858900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 32.

The square root of 2858900 is about 1690.8281994336. The cubic root of 2858900 is about 141.9274243957.

The spelling of 2858900 in words is "two million, eight hundred fifty-eight thousand, nine hundred".

Divisors: 1 2 4 5 10 11 20 22 23 25 44 46 50 55 92 100 110 113 115 220 226 230 253 275 452 460 506 550 565 575 1012 1100 1130 1150 1243 1265 2260 2300 2486 2530 2599 2825 4972 5060 5198 5650 6215 6325 10396 11300 12430 12650 12995 24860 25300 25990 28589 31075 51980 57178 62150 64975 114356 124300 129950 142945 259900 285890 571780 714725 1429450 2858900