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40286048 = 2511193593
BaseRepresentation
bin1001100110101…
…1011101100000
32210210202001212
42121223131200
540303123143
63555245252
7666266015
oct231533540
983722055
1040286048
1120816560
12115a9828
138466aca
1454c970c
15380b918
hex266b760

40286048 has 48 divisors (see below), whose sum is σ = 87118416. Its totient is φ = 18186240.

The previous prime is 40286033. The next prime is 40286053. The reversal of 40286048 is 84068204.

40286048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 67640 + ... + 68232.

It is an arithmetic number, because the mean of its divisors is an integer number (1814967).

Almost surely, 240286048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40286048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43559208).

40286048 is an abundant number, since it is smaller than the sum of its proper divisors (46832368).

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

40286048 is a wasteful number, since it uses less digits than its factorization.

40286048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 807 (or 799 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

The square root of 40286048 is about 6347.1291148046. The cubic root of 40286048 is about 342.8084790720.

The spelling of 40286048 in words is "forty million, two hundred eighty-six thousand, forty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 193 352 386 593 772 1186 1544 2123 2372 3088 4246 4744 6176 6523 8492 9488 13046 16984 18976 26092 33968 52184 67936 104368 114449 208736 228898 457796 915592 1258939 1831184 2517878 3662368 5035756 10071512 20143024 40286048