Search a number
-
+
537342 = 2313832
BaseRepresentation
bin10000011001011111110
31000022002120
42003023332
5114143332
615303410
74365411
oct2031376
91008076
10537342
11337793
1221ab66
1315a770
14ddb78
15a932c
hex832fe

537342 has 24 divisors (see below), whose sum is σ = 1171464. Its totient is φ = 163344.

The previous prime is 537331. The next prime is 537343. The reversal of 537342 is 243735.

It is a d-powerful number, because it can be written as 55 + 35 + 312 + 74 + 4 + 27 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (537343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6433 + ... + 6515.

It is an arithmetic number, because the mean of its divisors is an integer number (48811).

2537342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 537342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585732).

537342 is an abundant number, since it is smaller than the sum of its proper divisors (634122).

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

537342 is a wasteful number, since it uses less digits than its factorization.

537342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 101 counting only the distinct ones).

The product of its digits is 2520, while the sum is 24.

The square root of 537342 is about 733.0361519052. The cubic root of 537342 is about 81.2986990105.

The spelling of 537342 in words is "five hundred thirty-seven thousand, three hundred forty-two".

Divisors: 1 2 3 6 13 26 39 78 83 166 249 498 1079 2158 3237 6474 6889 13778 20667 41334 89557 179114 268671 537342