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39468 = 223111323
BaseRepresentation
bin1001101000101100
32000010210
421220230
52230333
6502420
7223032
oct115054
960123
1039468
1127720
121aa10
1314c70
1410552
15ba63
hex9a2c

39468 has 48 divisors (see below), whose sum is σ = 112896. Its totient is φ = 10560.

The previous prime is 39461. The next prime is 39499. The reversal of 39468 is 86493.

Its product of digits (5184) is a multiple of the sum of its prime factors (54).

It is a nialpdrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39461) by changing a digit.

39468 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 15 ways as a sum of consecutive naturals, for example, 1705 + ... + 1727.

It is an arithmetic number, because the mean of its divisors is an integer number (2352).

239468 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 39468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56448).

39468 is an abundant number, since it is smaller than the sum of its proper divisors (73428).

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

39468 is a wasteful number, since it uses less digits than its factorization.

39468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54 (or 52 counting only the distinct ones).

The product of its digits is 5184, while the sum is 30.

The square root of 39468 is about 198.6655480953. The cubic root of 39468 is about 34.0472238826.

The spelling of 39468 in words is "thirty-nine thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 11 12 13 22 23 26 33 39 44 46 52 66 69 78 92 132 138 143 156 253 276 286 299 429 506 572 598 759 858 897 1012 1196 1518 1716 1794 3036 3289 3588 6578 9867 13156 19734 39468