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40803840 = 2932571123
BaseRepresentation
bin1001101110100…
…1111000000000
32211210001100100
42123221320000
540421210330
64014322400
71003553430
oct233517000
984701310
1040803840
112103a590
12117b9400
1385b86ac
1455c22c0
1538b0060
hex26e9e00

40803840 has 480 divisors, whose sum is σ = 183845376. Its totient is φ = 8110080.

The previous prime is 40803839. The next prime is 40803857. The reversal of 40803840 is 4830804.

It is a tau number, because it is divible by the number of its divisors (480).

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 47 ways as a sum of consecutive naturals, for example, 1774069 + ... + 1774091.

Almost surely, 240803840 is an apocalyptic number.

40803840 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 40803840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91922688).

40803840 is an abundant number, since it is smaller than the sum of its proper divisors (143041536).

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

40803840 is a wasteful number, since it uses less digits than its factorization.

40803840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 40803840 is about 6387.7883496559. The cubic root of 40803840 is about 344.2709241241.

The spelling of 40803840 in words is "forty million, eight hundred three thousand, eight hundred forty".