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4412285800 = 2352132314211
BaseRepresentation
bin1000001101111111…
…00010001101101000
3102101111111100020121
410012333202031220
533014021121200
62005454333024
7214224544666
oct40677421550
912344440217
104412285800
11196469069a
12a317ba174
13554175100
142dbdd5c36
151ac563e1a
hex106fe2368

4412285800 has 144 divisors (see below), whose sum is σ = 11469444480. Its totient is φ = 1576224000.

The previous prime is 4412285797. The next prime is 4412285803. The reversal of 4412285800 is 85822144.

It is an interprime number because it is at equal distance from previous prime (4412285797) and next prime (4412285803).

It is not an unprimeable number, because it can be changed into a prime (4412285803) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1045695 + ... + 1049905.

It is an arithmetic number, because the mean of its divisors is an integer number (79648920).

Almost surely, 24412285800 is an apocalyptic number.

4412285800 is a gapful number since it is divisible by the number (40) 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 4412285800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5734722240).

4412285800 is an abundant number, since it is smaller than the sum of its proper divisors (7057158680).

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

4412285800 is a wasteful number, since it uses less digits than its factorization.

4412285800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4284 (or 4262 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 34.

The square root of 4412285800 is about 66425.0389536958. The cubic root of 4412285800 is about 1640.1662780048.

The spelling of 4412285800 in words is "four billion, four hundred twelve million, two hundred eighty-five thousand, eight hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 31 40 50 52 62 65 100 104 124 130 155 169 200 248 260 310 325 338 403 520 620 650 676 775 806 845 1240 1300 1352 1550 1612 1690 2015 2600 3100 3224 3380 4030 4211 4225 5239 6200 6760 8060 8422 8450 10075 10478 16120 16844 16900 20150 20956 21055 26195 33688 33800 40300 41912 42110 52390 54743 80600 84220 104780 105275 109486 130541 130975 168440 209560 210550 218972 261082 261950 273715 421100 437944 522164 523900 547430 652705 711659 842200 1044328 1047800 1094860 1305410 1368575 1423318 1697033 2189720 2610820 2737150 2846636 3263525 3394066 3558295 5221640 5474300 5693272 6527050 6788132 7116590 8485165 10948600 13054100 13576264 14233180 16970330 17791475 22061429 26108200 28466360 33940660 35582950 42425825 44122858 67881320 71165900 84851650 88245716 110307145 142331800 169703300 176491432 220614290 339406600 441228580 551535725 882457160 1103071450 2206142900 4412285800