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40210000 = 24544021
BaseRepresentation
bin1001100101100…
…0111001010000
32210122212202021
42121120321100
540243210000
63553501224
7665531215
oct231307120
983585667
1040210000
1120774406
1211571814
13843b2cc
1454a9b0c
1537e411a
hex2658e50

40210000 has 50 divisors (see below), whose sum is σ = 97376642. Its totient is φ = 16080000.

The previous prime is 40209989. The next prime is 40210039. The reversal of 40210000 is 1204.

It can be written as a sum of positive squares in 5 ways, for example, as 26460736 + 13749264 = 5144^2 + 3708^2 .

It is a tau number, because it is divible by the number of its divisors (50).

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 9 ways as a sum of consecutive naturals, for example, 7990 + ... + 12010.

Almost surely, 240210000 is an apocalyptic number.

40210000 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 40210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48688321).

40210000 is an abundant number, since it is smaller than the sum of its proper divisors (57166642).

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

40210000 is an equidigital number, since it uses as much as digits as its factorization.

40210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4049 (or 4028 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

The square root of 40210000 is about 6341.1355449951. The cubic root of 40210000 is about 342.5926366006.

Adding to 40210000 its reverse (1204), we get a palindrome (40211204).

The spelling of 40210000 in words is "forty million, two hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 4021 5000 8042 10000 16084 20105 32168 40210 64336 80420 100525 160840 201050 321680 402100 502625 804200 1005250 1608400 2010500 2513125 4021000 5026250 8042000 10052500 20105000 40210000