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40025000 = 23551601
BaseRepresentation
bin1001100010101…
…1101110101000
32210022110222102
42120223232220
540221300000
63545512532
7664130651
oct230535650
983273872
1040025000
1120658414
12114a2748
1383a5042
14545c528
1537a93d5
hex262bba8

40025000 has 48 divisors (see below), whose sum is σ = 93861180. Its totient is φ = 16000000.

The previous prime is 40024993. The next prime is 40025023. The reversal of 40025000 is 52004.

40025000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 6724 + 40018276 = 82^2 + 6326^2 .

It is a sliding number, since 40025000 = 25000 + 40000000 and 1/25000 + 1/40000000 = 0.000040025000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24200 + ... + 25800.

Almost surely, 240025000 is an apocalyptic number.

40025000 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 40025000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46930590).

40025000 is an abundant number, since it is smaller than the sum of its proper divisors (53836180).

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

40025000 is an equidigital number, since it uses as much as digits as its factorization.

40025000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1632 (or 1608 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 11.

The square root of 40025000 is about 6326.5314351547. The cubic root of 40025000 is about 342.0664234947.

Adding to 40025000 its reverse (52004), we get a palindrome (40077004).

It can be divided in two parts, 400 and 25000, that multiplied together give a 7-th power (10000000 = 107).

The spelling of 40025000 in words is "forty million, twenty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 625 1000 1250 1601 2500 3125 3202 5000 6250 6404 8005 12500 12808 16010 25000 32020 40025 64040 80050 160100 200125 320200 400250 800500 1000625 1601000 2001250 4002500 5003125 8005000 10006250 20012500 40025000