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47303316 = 223217372089
BaseRepresentation
bin1011010001110…
…0101010010100
310022000020221200
42310130222110
544102201231
64405512500
71113033354
oct264345224
9108006850
1047303316
1124779755
1213a12730
139a52b38
1463d4b64
154245be6
hex2d1ca94

47303316 has 72 divisors (see below), whose sum is σ = 130089960. Its totient is φ = 14432256.

The previous prime is 47303261. The next prime is 47303323. The reversal of 47303316 is 61330374.

It is a happy number.

47303316 is a `hidden beast` number, since 47 + 303 + 316 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 32832900 + 14470416 = 5730^2 + 3804^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 47303316.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21600 + ... + 23688.

It is an arithmetic number, because the mean of its divisors is an integer number (1806805).

Almost surely, 247303316 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 47303316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65044980).

47303316 is an abundant number, since it is smaller than the sum of its proper divisors (82786644).

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

47303316 is a wasteful number, since it uses less digits than its factorization.

47303316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2153 (or 2148 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 27.

The square root of 47303316 is about 6877.7406173830. The cubic root of 47303316 is about 361.6572664445.

The spelling of 47303316 in words is "forty-seven million, three hundred three thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 37 51 68 74 102 111 148 153 204 222 306 333 444 612 629 666 1258 1332 1887 2089 2516 3774 4178 5661 6267 7548 8356 11322 12534 18801 22644 25068 35513 37602 71026 75204 77293 106539 142052 154586 213078 231879 309172 319617 426156 463758 639234 695637 927516 1278468 1313981 1391274 2627962 2782548 3941943 5255924 7883886 11825829 15767772 23651658 47303316