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40083048 = 2332556709
BaseRepresentation
bin1001100011100…
…1111001101000
32210102102121100
42120321321220
540230124143
63551041400
7664462125
oct230717150
983372540
1040083048
1120697a95
1211510260
1383c55a5
14547574c
1537bb6d3
hex2639e68

40083048 has 24 divisors (see below), whose sum is σ = 108558450. Its totient is φ = 13360992.

The previous prime is 40083047. The next prime is 40083053. The reversal of 40083048 is 84038004.

40083048 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 only one way, i.e., 32695524 + 7387524 = 5718^2 + 2718^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is not an unprimeable number, because it can be changed into a prime (40083047) 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 5 ways as a sum of consecutive naturals, for example, 278283 + ... + 278426.

Almost surely, 240083048 is an apocalyptic number.

It is an amenable number.

40083048 is an abundant number, since it is smaller than the sum of its proper divisors (68475402).

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

40083048 is a wasteful number, since it uses less digits than its factorization.

40083048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556721 (or 556714 counting only the distinct ones).

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

The square root of 40083048 is about 6331.1174369143. The cubic root of 40083048 is about 342.2317091940.

It can be divided in two parts, 4008 and 3048, that added together give a square (7056 = 842).

The spelling of 40083048 in words is "forty million, eighty-three thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 556709 1113418 1670127 2226836 3340254 4453672 5010381 6680508 10020762 13361016 20041524 40083048