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47376 = 2432747
BaseRepresentation
bin1011100100010000
32101222200
423210100
53004001
61003200
7255060
oct134420
971880
1047376
113265a
1223500
1318744
14133a0
15e086
hexb910

47376 has 60 divisors (see below), whose sum is σ = 154752. Its totient is φ = 13248.

The previous prime is 47363. The next prime is 47381. The reversal of 47376 is 67374.

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

It is a nialpdrome in base 16.

It is an unprimeable number.

47376 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 11 ways as a sum of consecutive naturals, for example, 985 + ... + 1031.

247376 is an apocalyptic number.

47376 is the 126-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77376).

47376 is an abundant number, since it is smaller than the sum of its proper divisors (107376).

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

47376 is a wasteful number, since it uses less digits than its factorization.

47376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 59 counting only the distinct ones).

The product of its digits is 3528, while the sum is 27.

The square root of 47376 is about 217.6602857666. The cubic root of 47376 is about 36.1842406704.

The spelling of 47376 in words is "forty-seven thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 47 48 56 63 72 84 94 112 126 141 144 168 188 252 282 329 336 376 423 504 564 658 752 846 987 1008 1128 1316 1692 1974 2256 2632 2961 3384 3948 5264 5922 6768 7896 11844 15792 23688 47376