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40395000 = 233542693
BaseRepresentation
bin1001101000011…
…0000011111000
32211000021112010
42122012003320
540320120000
64001445520
71000231452
oct232060370
984007463
1040395000
11208903a8
12116408a0
1384a4589
1455172d2
15382dd50
hex26860f8

40395000 has 80 divisors (see below), whose sum is σ = 126240840. Its totient is φ = 10768000.

The previous prime is 40394987. The next prime is 40395011. The reversal of 40395000 is 59304.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 13654 + ... + 16346.

Almost surely, 240395000 is an apocalyptic number.

40395000 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 40395000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63120420).

40395000 is an abundant number, since it is smaller than the sum of its proper divisors (85845840).

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

40395000 is a wasteful number, since it uses less digits than its factorization.

40395000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2722 (or 2703 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 40395000 is about 6355.7060976732. The cubic root of 40395000 is about 343.1172381548.

The spelling of 40395000 in words is "forty million, three hundred ninety-five thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 625 750 1000 1250 1500 1875 2500 2693 3000 3750 5000 5386 7500 8079 10772 13465 15000 16158 21544 26930 32316 40395 53860 64632 67325 80790 107720 134650 161580 201975 269300 323160 336625 403950 538600 673250 807900 1009875 1346500 1615800 1683125 2019750 2693000 3366250 4039500 5049375 6732500 8079000 10098750 13465000 20197500 40395000