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8265000 = 233541929
BaseRepresentation
bin11111100001110100101000
3120112220110010
4133201310220
54103440000
6453051520
7130152132
oct37416450
916486403
108265000
114735687
122926ba0
131934c43
141152052
15ad3d50
hex7e1d28

8265000 has 160 divisors (see below), whose sum is σ = 28116000. Its totient is φ = 2016000.

The previous prime is 8264999. The next prime is 8265017. The reversal of 8265000 is 5628.

It is a happy number.

8265000 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 284986 + ... + 285014.

It is an arithmetic number, because the mean of its divisors is an integer number (175725).

Almost surely, 28265000 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 8265000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14058000).

8265000 is an abundant number, since it is smaller than the sum of its proper divisors (19851000).

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

8265000 is a wasteful number, since it uses less digits than its factorization.

8265000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 8265000 is about 2874.8913022930. The cubic root of 8265000 is about 202.1843887055.

The spelling of 8265000 in words is "eight million, two hundred sixty-five thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 25 29 30 38 40 50 57 58 60 75 76 87 95 100 114 116 120 125 145 150 152 174 190 200 228 232 250 285 290 300 348 375 380 435 456 475 500 551 570 580 600 625 696 725 750 760 870 950 1000 1102 1140 1160 1250 1425 1450 1500 1653 1740 1875 1900 2175 2204 2280 2375 2500 2755 2850 2900 3000 3306 3480 3625 3750 3800 4350 4408 4750 5000 5510 5700 5800 6612 7125 7250 7500 8265 8700 9500 10875 11020 11400 11875 13224 13775 14250 14500 15000 16530 17400 18125 19000 21750 22040 23750 27550 28500 29000 33060 35625 36250 41325 43500 47500 54375 55100 57000 66120 68875 71250 72500 82650 87000 95000 108750 110200 137750 142500 145000 165300 206625 217500 275500 285000 330600 344375 413250 435000 551000 688750 826500 1033125 1377500 1653000 2066250 2755000 4132500 8265000