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40524 = 22311307
BaseRepresentation
bin1001111001001100
32001120220
421321030
52244044
6511340
7226101
oct117114
961526
1040524
11284a0
121b550
13155a3
1410aa8
15c019
hex9e4c

40524 has 24 divisors (see below), whose sum is σ = 103488. Its totient is φ = 12240.

The previous prime is 40519. The next prime is 40529. The reversal of 40524 is 42504.

Added to its reverse (42504) it gives a triangular number (83028 = T407).

40524 = T19 + T20 + ... + T62.

40524 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (40519) and next prime (40529).

It is not an unprimeable number, because it can be changed into a prime (40529) 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, 22 + ... + 285.

It is an arithmetic number, because the mean of its divisors is an integer number (4312).

240524 is an apocalyptic number.

40524 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51744).

40524 is an abundant number, since it is smaller than the sum of its proper divisors (62964).

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

40524 is a wasteful number, since it uses less digits than its factorization.

40524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 15.

The square root of 40524 is about 201.3057376231. The cubic root of 40524 is about 34.3482094289.

Adding to 40524 its reverse (42504), we get a triangular number (83028 = T407).

The spelling of 40524 in words is "forty thousand, five hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 307 614 921 1228 1842 3377 3684 6754 10131 13508 20262 40524