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47808 = 263283
BaseRepresentation
bin1011101011000000
32102120200
423223000
53012213
61005200
7256245
oct135300
972520
1047808
1132a12
1223800
13189b7
14135cc
15e273
hexbac0

47808 has 42 divisors (see below), whose sum is σ = 138684. Its totient is φ = 15744.

The previous prime is 47807. The next prime is 47809. The reversal of 47808 is 80874.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (47807) and next prime (47809).

It is a plaindrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (47807) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 535 + ... + 617.

It is an arithmetic number, because the mean of its divisors is an integer number (3302).

247808 is an apocalyptic number.

47808 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 47808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69342).

47808 is an abundant number, since it is smaller than the sum of its proper divisors (90876).

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

47808 is a wasteful number, since it uses less digits than its factorization.

47808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 47808 is about 218.6504058995. The cubic root of 47808 is about 36.2938905548.

The spelling of 47808 in words is "forty-seven thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 83 96 144 166 192 249 288 332 498 576 664 747 996 1328 1494 1992 2656 2988 3984 5312 5976 7968 11952 15936 23904 47808