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40693128 = 2337234603
BaseRepresentation
bin1001101100111…
…0110110001000
32211120102110220
42123032312020
540404140003
64012110040
71002612600
oct233166610
984512426
1040693128
1120a74393
1211765320
13857a198
145593c00
15388c353
hex26ced88

40693128 has 48 divisors (see below), whose sum is σ = 118345680. Its totient is φ = 11626272.

The previous prime is 40693127. The next prime is 40693139. The reversal of 40693128 is 82139604.

40693128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (40693127) 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 11 ways as a sum of consecutive naturals, for example, 16126 + ... + 18477.

It is an arithmetic number, because the mean of its divisors is an integer number (2465535).

Almost surely, 240693128 is an apocalyptic number.

It is an amenable number.

40693128 is an abundant number, since it is smaller than the sum of its proper divisors (77652552).

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

40693128 is a wasteful number, since it uses less digits than its factorization.

40693128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34626 (or 34615 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 40693128 is about 6379.1165532541. The cubic root of 40693128 is about 343.9592749698.

The spelling of 40693128 in words is "forty million, six hundred ninety-three thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 294 392 588 1176 34603 69206 103809 138412 207618 242221 276824 415236 484442 726663 830472 968884 1453326 1695547 1937768 2906652 3391094 5086641 5813304 6782188 10173282 13564376 20346564 40693128