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40390000 = 24547577
BaseRepresentation
bin1001101000010…
…0110101110000
32211000000122221
42122010311300
540314440000
64001410424
71000211050
oct232046560
984000587
1040390000
1120887672
1211639a14
1384a2211
145515560
15382c61a
hex2684d70

40390000 has 100 divisors (see below), whose sum is σ = 111951664. Its totient is φ = 13824000.

The previous prime is 40389997. The next prime is 40390003. The reversal of 40390000 is 9304.

It is an interprime number because it is at equal distance from previous prime (40389997) and next prime (40390003).

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40390003) by changing a digit.

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, 69712 + ... + 70288.

Almost surely, 240390000 is an apocalyptic number.

40390000 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 40390000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55975832).

40390000 is an abundant number, since it is smaller than the sum of its proper divisors (71561664).

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

40390000 is an equidigital number, since it uses as much as digits as its factorization.

40390000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 612 (or 591 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 40390000 is about 6355.3127381743. The cubic root of 40390000 is about 343.1030808170.

Adding to 40390000 its reverse (9304), we get a palindrome (40399304).

The spelling of 40390000 in words is "forty million, three hundred ninety thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 125 140 175 200 250 280 350 400 500 560 577 625 700 875 1000 1154 1250 1400 1750 2000 2308 2500 2800 2885 3500 4039 4375 4616 5000 5770 7000 8078 8750 9232 10000 11540 14000 14425 16156 17500 20195 23080 28850 32312 35000 40390 46160 57700 64624 70000 72125 80780 100975 115400 144250 161560 201950 230800 288500 323120 360625 403900 504875 577000 721250 807800 1009750 1154000 1442500 1615600 2019500 2524375 2885000 4039000 5048750 5770000 8078000 10097500 20195000 40390000