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47488 = 27753
BaseRepresentation
bin1011100110000000
32102010211
423212000
53004423
61003504
7255310
oct134600
972124
1047488
1132751
1223594
13187cc
1413440
15e10d
hexb980

47488 has 32 divisors (see below), whose sum is σ = 110160. Its totient is φ = 19968.

The previous prime is 47459. The next prime is 47491. The reversal of 47488 is 88474.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×474882 = 4510220288, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 16.

It is a congruent number.

It is an unprimeable number.

47488 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 870 + ... + 922.

247488 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 47488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55080).

47488 is an abundant number, since it is smaller than the sum of its proper divisors (62672).

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

47488 is an equidigital number, since it uses as much as digits as its factorization.

47488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 62 counting only the distinct ones).

The product of its digits is 7168, while the sum is 31.

The square root of 47488 is about 217.9174155500. The cubic root of 47488 is about 36.2127322103.

It can be divided in two parts, 47 and 488, that added together give a palindrome (535).

The spelling of 47488 in words is "forty-seven thousand, four hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 53 56 64 106 112 128 212 224 371 424 448 742 848 896 1484 1696 2968 3392 5936 6784 11872 23744 47488