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830255800 = 2352111073527
BaseRepresentation
bin110001011111001…
…011001010111000
32010212021100211211
4301133023022320
53200021141200
6214215132504
726401025563
oct6137131270
92125240754
10830255800
11396726520
121b2074134
1310301742a
147c3a34da
154cd51aba
hex317cb2b8

830255800 has 96 divisors (see below), whose sum is σ = 2126113920. Its totient is φ = 299004800.

The previous prime is 830255773. The next prime is 830255801. The reversal of 830255800 is 8552038.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (830255801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 233637 + ... + 237163.

It is an arithmetic number, because the mean of its divisors is an integer number (22147020).

Almost surely, 2830255800 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 830255800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1063056960).

830255800 is an abundant number, since it is smaller than the sum of its proper divisors (1295858120).

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

830255800 is a wasteful number, since it uses less digits than its factorization.

830255800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3661 (or 3652 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 31.

The square root of 830255800 is about 28814.1597135853. The cubic root of 830255800 is about 939.8761720091.

The spelling of 830255800 in words is "eight hundred thirty million, two hundred fifty-five thousand, eight hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 107 110 200 214 220 275 428 440 535 550 856 1070 1100 1177 2140 2200 2354 2675 3527 4280 4708 5350 5885 7054 9416 10700 11770 14108 17635 21400 23540 28216 29425 35270 38797 47080 58850 70540 77594 88175 117700 141080 155188 176350 193985 235400 310376 352700 377389 387970 705400 754778 775940 969925 1509556 1551880 1886945 1939850 3019112 3773890 3879700 4151279 7547780 7759400 8302558 9434725 15095560 16605116 18869450 20756395 33210232 37738900 41512790 75477800 83025580 103781975 166051160 207563950 415127900 830255800