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5331375 = 32537677
BaseRepresentation
bin10100010101100110101111
3101000212021100
4110111212233
52331101000
6310134143
763213240
oct24254657
911025240
105331375
1130115a5
121951353
13114887a
149cacc7
15704a00
hex5159af

5331375 has 48 divisors (see below), whose sum is σ = 10999872. Its totient is φ = 2433600.

The previous prime is 5331371. The next prime is 5331379. The reversal of 5331375 is 5731335.

It is an interprime number because it is at equal distance from previous prime (5331371) and next prime (5331379).

It is not a de Polignac number, because 5331375 - 22 = 5331371 is a prime.

It is a nude number because it is divisible by every one of its digits.

It is a d-powerful number, because it can be written as 5 + 33 + 312 + 1 + 314 + 75 + 53 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5331371) 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 47 ways as a sum of consecutive naturals, for example, 7537 + ... + 8213.

It is an arithmetic number, because the mean of its divisors is an integer number (229164).

Almost surely, 25331375 is an apocalyptic number.

5331375 is an abundant number, since it is smaller than the sum of its proper divisors (5668497).

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

5331375 is a wasteful number, since it uses less digits than its factorization.

5331375 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 705 (or 692 counting only the distinct ones).

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

The square root of 5331375 is about 2308.9770462263. The cubic root of 5331375 is about 174.6947058076.

Adding to 5331375 its product of digits (4725), we get a square (5336100 = 23102).

The spelling of 5331375 in words is "five million, three hundred thirty-one thousand, three hundred seventy-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 63 75 105 125 175 225 315 375 525 677 875 1125 1575 2031 2625 3385 4739 6093 7875 10155 14217 16925 23695 30465 42651 50775 71085 84625 118475 152325 213255 253875 355425 592375 761625 1066275 1777125 5331375