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537416 = 231131197
BaseRepresentation
bin10000011001101001000
31000022012022
42003031020
5114144131
615304012
74365545
oct2031510
91008168
10537416
11337850
1221b008
1315a7c9
14ddbcc
15a937b
hex83348

537416 has 32 divisors (see below), whose sum is σ = 1140480. Its totient is φ = 235200.

The previous prime is 537413. The next prime is 537497. The reversal of 537416 is 614735.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 537416.

It is not an unprimeable number, because it can be changed into a prime (537413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2630 + ... + 2826.

It is an arithmetic number, because the mean of its divisors is an integer number (35640).

2537416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 537416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570240).

537416 is an abundant number, since it is smaller than the sum of its proper divisors (603064).

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

537416 is a wasteful number, since it uses less digits than its factorization.

537416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 241 counting only the distinct ones).

The product of its digits is 2520, while the sum is 26.

The square root of 537416 is about 733.0866251679. The cubic root of 537416 is about 81.3024308532.

The spelling of 537416 in words is "five hundred thirty-seven thousand, four hundred sixteen".

Divisors: 1 2 4 8 11 22 31 44 62 88 124 197 248 341 394 682 788 1364 1576 2167 2728 4334 6107 8668 12214 17336 24428 48856 67177 134354 268708 537416