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5133375 = 3553132
BaseRepresentation
bin10011100101010000111111
3100122210200000
4103211100333
52303232000
6302005343
761430052
oct23452077
910583600
105133375
112996865
121876853
1310a9700
14978a99
156b6000
hex4e543f

5133375 has 72 divisors (see below), whose sum is σ = 10391472. Its totient is φ = 2527200.

The previous prime is 5133361. The next prime is 5133379. The reversal of 5133375 is 5733315.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is not a de Polignac number, because 5133375 - 26 = 5133311 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

Its product of digits (4725) is a multiple of the sum of its prime divisors (21).

5133375 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5133379) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 394869 + ... + 394881.

It is an arithmetic number, because the mean of its divisors is an integer number (144326).

Almost surely, 25133375 is an apocalyptic number.

5133375 is an abundant number, since it is smaller than the sum of its proper divisors (5258097).

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

5133375 is an equidigital number, since it uses as much as digits as its factorization.

5133375 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56 (or 21 counting only the distinct ones).

The product of its digits is 4725, while the sum is 27.

The square root of 5133375 is about 2265.6952575313. The cubic root of 5133375 is about 172.5047257685.

The spelling of 5133375 in words is "five million, one hundred thirty-three thousand, three hundred seventy-five".

Divisors: 1 3 5 9 13 15 25 27 39 45 65 75 81 117 125 135 169 195 225 243 325 351 375 405 507 585 675 845 975 1053 1125 1215 1521 1625 1755 2025 2535 2925 3159 3375 4225 4563 4875 5265 6075 7605 8775 10125 12675 13689 14625 15795 21125 22815 26325 30375 38025 41067 43875 63375 68445 78975 114075 131625 190125 205335 342225 394875 570375 1026675 1711125 5133375