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537285 = 35721743
BaseRepresentation
bin10000011001011000101
31000022000110
42003023011
5114143120
615303233
74365300
oct2031305
91008013
10537285
11337741
1221ab19
1315a728
14ddb37
15a92e0
hex832c5

537285 has 48 divisors (see below), whose sum is σ = 1083456. Its totient is φ = 225792.

The previous prime is 537281. The next prime is 537287. The reversal of 537285 is 582735.

It is a happy number.

It is not a de Polignac number, because 537285 - 22 = 537281 is a prime.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

Its product of digits (8400) is a multiple of the sum of its prime divisors (75).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 537285.

It is not an unprimeable number, because it can be changed into a prime (537281) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12474 + ... + 12516.

It is an arithmetic number, because the mean of its divisors is an integer number (22572).

2537285 is an apocalyptic number.

It is an amenable number.

537285 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

537285 is a wasteful number, since it uses less digits than its factorization.

537285 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 75 counting only the distinct ones).

The product of its digits is 8400, while the sum is 30.

The square root of 537285 is about 732.9972714820. The cubic root of 537285 is about 81.2958242493.

The spelling of 537285 in words is "five hundred thirty-seven thousand, two hundred eighty-five".

Divisors: 1 3 5 7 15 17 21 35 43 49 51 85 105 119 129 147 215 245 255 301 357 595 645 731 735 833 903 1505 1785 2107 2193 2499 3655 4165 4515 5117 6321 10535 10965 12495 15351 25585 31605 35819 76755 107457 179095 537285