Search a number
-
+
47352816 = 2433722237
BaseRepresentation
bin1011010010100…
…0101111110000
310022002202212000
42310220233300
544110242231
64410534000
71113330600
oct264505760
9108082760
1047352816
1124802965
1213a37300
139a6c524
146408c00
1542556e6
hex2d28bf0

47352816 has 120 divisors (see below), whose sum is σ = 158181840. Its totient is φ = 13523328.

The previous prime is 47352787. The next prime is 47352821. The reversal of 47352816 is 61825374.

47352816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20050 + ... + 22286.

It is an arithmetic number, because the mean of its divisors is an integer number (1318182).

Almost surely, 247352816 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 47352816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79090920).

47352816 is an abundant number, since it is smaller than the sum of its proper divisors (110829024).

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

47352816 is a wasteful number, since it uses less digits than its factorization.

47352816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2268 (or 2249 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 47352816 is about 6881.3382419410. The cubic root of 47352816 is about 361.7833731348.

The spelling of 47352816 in words is "forty-seven million, three hundred fifty-two thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 49 54 56 63 72 84 98 108 112 126 144 147 168 189 196 216 252 294 336 378 392 432 441 504 588 756 784 882 1008 1176 1323 1512 1764 2237 2352 2646 3024 3528 4474 5292 6711 7056 8948 10584 13422 15659 17896 20133 21168 26844 31318 35792 40266 46977 53688 60399 62636 80532 93954 107376 109613 120798 125272 140931 161064 187908 219226 241596 250544 281862 322128 328839 375816 422793 438452 483192 563724 657678 751632 845586 876904 966384 986517 1127448 1315356 1691172 1753808 1973034 2254896 2630712 2959551 3382344 3946068 5261424 5919102 6764688 7892136 11838204 15784272 23676408 47352816