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43136928 = 253349927
BaseRepresentation
bin1010010010001…
…1011110100000
310000011120202000
42210203132200
542020340203
64140324000
71032441432
oct244433640
9100146660
1043136928
112239345a
1212543600
138c24613
145a2c652
153bc14a3
hex29237a0

43136928 has 48 divisors (see below), whose sum is σ = 125818560. Its totient is φ = 14378688.

The previous prime is 43136927. The next prime is 43136969. The reversal of 43136928 is 82963134.

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 43136892 and 43136901.

It is not an unprimeable number, because it can be changed into a prime (43136927) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 24100 + ... + 25827.

It is an arithmetic number, because the mean of its divisors is an integer number (2621220).

Almost surely, 243136928 is an apocalyptic number.

43136928 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

43136928 is an abundant number, since it is smaller than the sum of its proper divisors (82681632).

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

43136928 is a wasteful number, since it uses less digits than its factorization.

43136928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49946 (or 49932 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 43136928 is about 6567.8708878905. The cubic root of 43136928 is about 350.7112827777.

The spelling of 43136928 in words is "forty-three million, one hundred thirty-six thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 49927 99854 149781 199708 299562 399416 449343 599124 798832 898686 1198248 1348029 1597664 1797372 2396496 2696058 3594744 4792992 5392116 7189488 10784232 14378976 21568464 43136928