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75008505 = 3511313172
BaseRepresentation
bin1000111100010…
…00100111111001
312020010211022210
410132020213321
5123200233010
611235405333
71600363455
oct436104771
9166124283
1075008505
1139382000
1221153849
1312703440
149d67665
1568b9b20
hex47889f9

75008505 has 96 divisors (see below), whose sum is σ = 151014528. Its totient is φ = 31595520.

The previous prime is 75008501. The next prime is 75008513. The reversal of 75008505 is 50580057.

It is a happy number.

It is not a de Polignac number, because 75008505 - 22 = 75008501 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75008501) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4412257 + ... + 4412273.

It is an arithmetic number, because the mean of its divisors is an integer number (1573068).

Almost surely, 275008505 is an apocalyptic number.

It is an amenable number.

75008505 is an abundant number, since it is smaller than the sum of its proper divisors (76006023).

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

75008505 is a wasteful number, since it uses less digits than its factorization.

75008505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 7000, while the sum is 30.

The square root of 75008505 is about 8660.7450603282. The cubic root of 75008505 is about 421.7322729257.

The spelling of 75008505 in words is "seventy-five million, eight thousand, five hundred five".

Divisors: 1 3 5 11 13 15 17 33 39 51 55 65 85 121 143 165 187 195 221 255 289 363 429 561 605 663 715 867 935 1105 1331 1445 1573 1815 2057 2145 2431 2805 3179 3315 3757 3993 4335 4719 6171 6655 7293 7865 9537 10285 11271 12155 15895 17303 18785 19965 22627 23595 26741 30855 34969 36465 41327 47685 51909 56355 67881 80223 86515 104907 113135 123981 133705 174845 206635 259545 294151 339405 384659 401115 454597 524535 619905 882453 1153977 1363791 1470755 1923295 2272985 4412265 5000567 5769885 6818955 15001701 25002835 75008505