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47316048 = 24313191397
BaseRepresentation
bin1011010001111…
…1110001010000
310022000220102020
42310133301100
544103103143
64410051440
71113115443
oct264376120
9108026366
1047316048
112478827a
1213a19b80
139a58880
1463d965a
154249883
hex2d1fc50

47316048 has 80 divisors (see below), whose sum is σ = 132658176. Its totient is φ = 14446080.

The previous prime is 47316043. The next prime is 47316077. The reversal of 47316048 is 84061374.

47316048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47316043) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 118986 + ... + 119382.

Almost surely, 247316048 is an apocalyptic number.

47316048 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47316048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66329088).

47316048 is an abundant number, since it is smaller than the sum of its proper divisors (85342128).

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

47316048 is a wasteful number, since it uses less digits than its factorization.

47316048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 612 (or 606 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 47316048 is about 6878.6661497706. Note that the first 3 decimals coincide. The cubic root of 47316048 is about 361.6897110146.

The spelling of 47316048 in words is "forty-seven million, three hundred sixteen thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 191 208 312 382 397 573 624 764 794 1146 1191 1528 1588 2292 2382 2483 3056 3176 4584 4764 4966 5161 6352 7449 9168 9528 9932 10322 14898 15483 19056 19864 20644 29796 30966 39728 41288 59592 61932 75827 82576 119184 123864 151654 227481 247728 303308 454962 606616 909924 985751 1213232 1819848 1971502 2957253 3639696 3943004 5914506 7886008 11829012 15772016 23658024 47316048