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41286000 = 243537983
BaseRepresentation
bin1001110101111…
…1100101110000
32212200112202010
42131133211300
541032123000
64032522520
71010632230
oct235374560
985615663
1041286000
1121339868
12119b0440
138726cb2
1456a9cc0
153957d50
hex275f970

41286000 has 160 divisors (see below), whose sum is σ = 152275968. Its totient is φ = 9427200.

The previous prime is 41285983. The next prime is 41286001. The reversal of 41286000 is 68214.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41286001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41509 + ... + 42491.

Almost surely, 241286000 is an apocalyptic number.

41286000 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 41286000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76137984).

41286000 is an abundant number, since it is smaller than the sum of its proper divisors (110989968).

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

41286000 is a wasteful number, since it uses less digits than its factorization.

41286000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1016 (or 1000 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 41286000 is about 6425.4182743227. The cubic root of 41286000 is about 345.6216475209.

The spelling of 41286000 in words is "forty-one million, two hundred eighty-six thousand".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 35 40 42 48 50 56 60 70 75 80 84 100 105 112 120 125 140 150 168 175 200 210 240 250 280 300 336 350 375 400 420 500 525 560 600 700 750 840 875 983 1000 1050 1200 1400 1500 1680 1750 1966 2000 2100 2625 2800 2949 3000 3500 3932 4200 4915 5250 5898 6000 6881 7000 7864 8400 9830 10500 11796 13762 14000 14745 15728 19660 20643 21000 23592 24575 27524 29490 34405 39320 41286 42000 47184 49150 55048 58980 68810 73725 78640 82572 98300 103215 110096 117960 122875 137620 147450 165144 172025 196600 206430 235920 245750 275240 294900 330288 344050 368625 393200 412860 491500 516075 550480 589800 688100 737250 825720 860125 983000 1032150 1179600 1376200 1474500 1651440 1720250 1966000 2064300 2580375 2752400 2949000 3440500 4128600 5160750 5898000 6881000 8257200 10321500 13762000 20643000 41286000