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47922 = 2372163
BaseRepresentation
bin1011101100110010
32102201220
423230302
53013142
61005510
7256500
oct135462
972656
1047922
1133006
1223896
1318a74
1413670
15e2ec
hexbb32

47922 has 24 divisors (see below), whose sum is σ = 112176. Its totient is φ = 13608.

The previous prime is 47917. The next prime is 47933. The reversal of 47922 is 22974.

It is an Ulam number.

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 47892 and 47901.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 47922.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 213 + ... + 375.

It is an arithmetic number, because the mean of its divisors is an integer number (4674).

247922 is an apocalyptic number.

47922 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 47922, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56088).

47922 is an abundant number, since it is smaller than the sum of its proper divisors (64254).

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

47922 is a wasteful number, since it uses less digits than its factorization.

47922 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 175 counting only the distinct ones).

The product of its digits is 1008, while the sum is 24.

The square root of 47922 is about 218.9109407956. The cubic root of 47922 is about 36.3227157110.

It can be divided in two parts, 47 and 922, that multiplied together give a palindrome (43334).

The spelling of 47922 in words is "forty-seven thousand, nine hundred twenty-two".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 163 294 326 489 978 1141 2282 3423 6846 7987 15974 23961 47922