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40848040 = 2356116741
BaseRepresentation
bin1001101111010…
…0101010101000
32211212021222101
42123310222220
540424114130
64015303144
71004126332
oct233645250
984767871
1040848040
112106a812
121181aab4
13860284c
1455d4452
1538bd1ca
hex26f4aa8

40848040 has 32 divisors (see below), whose sum is σ = 93420360. Its totient is φ = 16070400.

The previous prime is 40848019. The next prime is 40848047. The reversal of 40848040 is 4084804.

It is a happy number.

40848040 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 4 ways, for example, as 33108516 + 7739524 = 5754^2 + 2782^2 .

It is not an unprimeable number, because it can be changed into a prime (40848047) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 5931 + ... + 10810.

Almost surely, 240848040 is an apocalyptic number.

40848040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40848040 is an abundant number, since it is smaller than the sum of its proper divisors (52572320).

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

40848040 is a wasteful number, since it uses less digits than its factorization.

40848040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16813 (or 16809 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

The square root of 40848040 is about 6391.2471396434. The cubic root of 40848040 is about 344.3951876225.

The spelling of 40848040 in words is "forty million, eight hundred forty-eight thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 61 122 244 305 488 610 1220 2440 16741 33482 66964 83705 133928 167410 334820 669640 1021201 2042402 4084804 5106005 8169608 10212010 20424020 40848040