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5203275 = 3527111753
BaseRepresentation
bin10011110110010101001011
3100210100112220
4103312111023
52313001100
6303305123
762140620
oct23662513
910710486
105203275
112a34330
1218ab1a3
13110247c
14996347
156cbaa0
hex4f654b

5203275 has 96 divisors (see below), whose sum is σ = 11570688. Its totient is φ = 1996800.

The previous prime is 5203271. The next prime is 5203279. The reversal of 5203275 is 5723025.

5203275 = 2212 + 2222 + ... + 2972.

It is an interprime number because it is at equal distance from previous prime (5203271) and next prime (5203279).

It is not a de Polignac number, because 5203275 - 22 = 5203271 is a prime.

5203275 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (5203271) 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 95 ways as a sum of consecutive naturals, for example, 98149 + ... + 98201.

It is an arithmetic number, because the mean of its divisors is an integer number (120528).

Almost surely, 25203275 is an apocalyptic number.

5203275 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

5203275 is an abundant number, since it is smaller than the sum of its proper divisors (6367413).

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

5203275 is a wasteful number, since it uses less digits than its factorization.

5203275 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 24.

The square root of 5203275 is about 2281.0688284223. The cubic root of 5203275 is about 173.2841843721.

The spelling of 5203275 in words is "five million, two hundred three thousand, two hundred seventy-five".

Divisors: 1 3 5 7 11 15 17 21 25 33 35 51 53 55 75 77 85 105 119 159 165 175 187 231 255 265 275 357 371 385 425 525 561 583 595 795 825 901 935 1113 1155 1275 1309 1325 1749 1785 1855 1925 2703 2805 2915 2975 3927 3975 4081 4505 4675 5565 5775 6307 6545 8745 8925 9275 9911 12243 13515 14025 14575 18921 19635 20405 22525 27825 29733 31535 32725 43725 49555 61215 67575 69377 94605 98175 102025 148665 157675 208131 247775 306075 346885 473025 743325 1040655 1734425 5203275