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40010000 = 24544001
BaseRepresentation
bin1001100010100…
…0000100010000
32210021201101212
42120220010100
540220310000
63545315252
7664036142
oct230500420
983251355
1040010000
1120648118
1211495b28
13839b274
145456c92
1537a4c35
hex2628110

40010000 has 50 divisors (see below), whose sum is σ = 96892422. Its totient is φ = 16000000.

The previous prime is 40009999. The next prime is 40010011. The reversal of 40010000 is 1004.

It can be written as a sum of positive squares in 5 ways, for example, as 27164944 + 12845056 = 5212^2 + 3584^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (5).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 8000 + ... + 12000.

Almost surely, 240010000 is an apocalyptic number.

40010000 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 40010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48446211).

40010000 is an abundant number, since it is smaller than the sum of its proper divisors (56882422).

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

40010000 is an equidigital number, since it uses as much as digits as its factorization.

40010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4029 (or 4008 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 5.

The square root of 40010000 is about 6325.3458403474. The cubic root of 40010000 is about 342.0236865598.

Adding to 40010000 its reverse (1004), we get a palindrome (40011004).

The spelling of 40010000 in words is "forty million, 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 4001 5000 8002 10000 16004 20005 32008 40010 64016 80020 100025 160040 200050 320080 400100 500125 800200 1000250 1600400 2000500 2500625 4001000 5001250 8002000 10002500 20005000 40010000