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75138609 = 3731341137
BaseRepresentation
bin1000111101010…
…00011000110001
312020101102210110
410132220120301
5123213413414
611242251533
71601445000
oct436503061
9166342713
1075138609
1139460827
12211b6ba9
131274a720
149d9cc37
1568e3459
hex47a8631

75138609 has 64 divisors (see below), whose sum is σ = 129830400. Its totient is φ = 38384640.

The previous prime is 75138563. The next prime is 75138629. The reversal of 75138609 is 90683157.

It is not a de Polignac number, because 75138609 - 28 = 75138353 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (75138629) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 548389 + ... + 548525.

It is an arithmetic number, because the mean of its divisors is an integer number (2028600).

Almost surely, 275138609 is an apocalyptic number.

It is an amenable number.

75138609 is a deficient number, since it is larger than the sum of its proper divisors (54691791).

75138609 is a wasteful number, since it uses less digits than its factorization.

75138609 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 39.

The square root of 75138609 is about 8668.2529381646. The cubic root of 75138609 is about 421.9759669010.

The spelling of 75138609 in words is "seventy-five million, one hundred thirty-eight thousand, six hundred nine".

Divisors: 1 3 7 13 21 39 41 49 91 123 137 147 273 287 343 411 533 637 861 959 1029 1599 1781 1911 2009 2877 3731 4459 5343 5617 6027 6713 11193 12467 13377 14063 16851 20139 26117 37401 39319 42189 46991 73021 78351 87269 117957 140973 182819 219063 261807 275233 511147 548457 610883 825699 1533441 1832649 1926631 3578029 5779893 10734087 25046203 75138609