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75312216 = 23327221347
BaseRepresentation
bin1000111110100…
…10110001011000
312020201020221100
410133102301120
5123234442331
611250111400
71603100100
oct437226130
9166636840
1075312216
113956a201
122127b560
13127ab755
14a006200
156929ae6
hex47d2c58

75312216 has 72 divisors (see below), whose sum is σ = 237283020. Its totient is φ = 21516768.

The previous prime is 75312191. The next prime is 75312233. The reversal of 75312216 is 61221357.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 75312216.

It is a congruent number.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 7146 + ... + 14201.

Almost surely, 275312216 is an apocalyptic number.

It is an amenable number.

75312216 is an abundant number, since it is smaller than the sum of its proper divisors (161970804).

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

75312216 is a wasteful number, since it uses less digits than its factorization.

75312216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21373 (or 21359 counting only the distinct ones).

The product of its digits is 2520, while the sum is 27.

The square root of 75312216 is about 8678.2611161453. The cubic root of 75312216 is about 422.3007073345.

The spelling of 75312216 in words is "seventy-five million, three hundred twelve thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 392 441 504 588 882 1176 1764 3528 21347 42694 64041 85388 128082 149429 170776 192123 256164 298858 384246 448287 512328 597716 768492 896574 1046003 1195432 1344861 1536984 1793148 2092006 2689722 3138009 3586296 4184012 5379444 6276018 8368024 9414027 10758888 12552036 18828054 25104072 37656108 75312216