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53808 = 2431959
BaseRepresentation
bin1101001000110000
32201210220
431020300
53210213
61053040
7312606
oct151060
981726
1053808
1137477
1227180
131b651
1415876
1510e23
hexd230

53808 has 40 divisors (see below), whose sum is σ = 148800. Its totient is φ = 16704.

The previous prime is 53791. The next prime is 53813. The reversal of 53808 is 80835.

It can be divided in two parts, 53 and 808, that multiplied together give a palindrome (42824).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an Ulam number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 883 + ... + 941.

It is an arithmetic number, because the mean of its divisors is an integer number (3720).

253808 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 53808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74400).

53808 is an abundant number, since it is smaller than the sum of its proper divisors (94992).

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

53808 is a wasteful number, since it uses less digits than its factorization.

53808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 53808 is about 231.9655146784. The cubic root of 53808 is about 37.7527811059.

The spelling of 53808 in words is "fifty-three thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 59 76 114 118 152 177 228 236 304 354 456 472 708 912 944 1121 1416 2242 2832 3363 4484 6726 8968 13452 17936 26904 53808