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40848 = 2432337
BaseRepresentation
bin1001111110010000
32002000220
421332100
52301343
6513040
7230043
oct117620
962026
1040848
1128765
121b780
1315792
1410c5a
15c183
hex9f90

40848 has 40 divisors (see below), whose sum is σ = 113088. Its totient is φ = 12672.

The previous prime is 40847. The next prime is 40849. The reversal of 40848 is 84804.

40848 = T17 + T18 + ... + T62.

40848 is nontrivially palindromic in base 9.

40848 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 (40847) and next prime (40849).

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

It is not an unprimeable number, because it can be changed into a prime (40841) 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, 1086 + ... + 1122.

240848 is an apocalyptic number.

40848 is a gapful number since it is divisible by the number (48) 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 40848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56544).

40848 is an abundant number, since it is smaller than the sum of its proper divisors (72240).

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

40848 is a wasteful number, since it uses less digits than its factorization.

40848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 40848 is about 202.1088815466. The cubic root of 40848 is about 34.4395075207.

Subtracting 40848 from its reverse (84804), we obtain a triangular number (43956 = T296).

It can be divided in two parts, 40 and 848, that added together give a palindrome (888).

The spelling of 40848 in words is "forty thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 37 46 48 69 74 92 111 138 148 184 222 276 296 368 444 552 592 851 888 1104 1702 1776 2553 3404 5106 6808 10212 13616 20424 40848