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40565000 = 235471961
BaseRepresentation
bin1001101010111…
…1100100001000
32211022220201102
42122233210020
540341040000
64005240532
71001540210
oct232574410
984286642
1040565000
11209970a3
1211703148
138533a78
14555d240
1538643d5
hex26af908

40565000 has 160 divisors (see below), whose sum is σ = 116212800. Its totient is φ = 12960000.

The previous prime is 40564991. The next prime is 40565003. The reversal of 40565000 is 56504.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40565003) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 664970 + ... + 665030.

It is an arithmetic number, because the mean of its divisors is an integer number (726330).

Almost surely, 240565000 is an apocalyptic number.

40565000 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 40565000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58106400).

40565000 is an abundant number, since it is smaller than the sum of its proper divisors (75647800).

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

40565000 is a wasteful number, since it uses less digits than its factorization.

40565000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 40565000 is about 6369.0658655724. The cubic root of 40565000 is about 343.5978941371.

The spelling of 40565000 in words is "forty million, five hundred sixty-five thousand".

Divisors: 1 2 4 5 7 8 10 14 19 20 25 28 35 38 40 50 56 61 70 76 95 100 122 125 133 140 152 175 190 200 244 250 266 280 305 350 380 427 475 488 500 532 610 625 665 700 760 854 875 950 1000 1064 1159 1220 1250 1330 1400 1525 1708 1750 1900 2135 2318 2375 2440 2500 2660 3050 3325 3416 3500 3800 4270 4375 4636 4750 5000 5320 5795 6100 6650 7000 7625 8113 8540 8750 9272 9500 10675 11590 11875 12200 13300 15250 16226 16625 17080 17500 19000 21350 23180 23750 26600 28975 30500 32452 33250 35000 38125 40565 42700 46360 47500 53375 57950 61000 64904 66500 76250 81130 83125 85400 95000 106750 115900 133000 144875 152500 162260 166250 202825 213500 231800 266875 289750 305000 324520 332500 405650 427000 533750 579500 665000 724375 811300 1014125 1067500 1159000 1448750 1622600 2028250 2135000 2897500 4056500 5070625 5795000 8113000 10141250 20282500 40565000