Search a number
-
+
40508 = 22131941
BaseRepresentation
bin1001111000111100
32001120022
421320330
52244013
6511312
7226046
oct117074
961508
1040508
1128486
121b538
1315590
1410a96
15c008
hex9e3c

40508 has 24 divisors (see below), whose sum is σ = 82320. Its totient is φ = 17280.

The previous prime is 40507. The next prime is 40519. The reversal of 40508 is 80504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40507) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 968 + ... + 1008.

It is an arithmetic number, because the mean of its divisors is an integer number (3430).

240508 is an apocalyptic number.

It is an amenable number.

40508 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.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41160).

40508 is a wasteful number, since it uses less digits than its factorization.

40508 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 40508 is about 201.2659931533. The cubic root of 40508 is about 34.3436882917.

It can be divided in two parts, 4050 and 8, that multiplied together give a square (32400 = 1802).

The spelling of 40508 in words is "forty thousand, five hundred eight".

Divisors: 1 2 4 13 19 26 38 41 52 76 82 164 247 494 533 779 988 1066 1558 2132 3116 10127 20254 40508