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75906047 = 724137783
BaseRepresentation
bin1001000011000…
…11101111111111
312021211102112002
410201203233333
5123412443142
611310532515
71611122300
oct441435777
9167742462
1075906047
1139935378
122150713b
1312958b29
14a11c7a7
1569e5a32
hex4863bff

75906047 has 12 divisors (see below), whose sum is σ = 90454896. Its totient is φ = 63473760.

The previous prime is 75906023. The next prime is 75906059. The reversal of 75906047 is 74060957.

It is not a de Polignac number, because 75906047 - 226 = 8797183 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 75906047.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75906097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16883 + ... + 20900.

It is an arithmetic number, because the mean of its divisors is an integer number (7537908).

Almost surely, 275906047 is an apocalyptic number.

75906047 is a deficient number, since it is larger than the sum of its proper divisors (14548849).

75906047 is a wasteful number, since it uses less digits than its factorization.

75906047 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37838 (or 37831 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 38.

The square root of 75906047 is about 8712.4076465693. The cubic root of 75906047 is about 423.4077389349.

The spelling of 75906047 in words is "seventy-five million, nine hundred six thousand, forty-seven".

Divisors: 1 7 41 49 287 2009 37783 264481 1549103 1851367 10843721 75906047