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47218048 = 27973803
BaseRepresentation
bin1011010000011…
…1110110000000
310021211220222121
42310013312000
544041434143
64404014024
71112226643
oct264076600
9107756877
1047218048
1124720689
1213991314
139a23097
1463b1a5a
15422a7ed
hex2d07d80

47218048 has 32 divisors (see below), whose sum is σ = 95061960. Its totient is φ = 23359488.

The previous prime is 47218007. The next prime is 47218051. The reversal of 47218048 is 84081274.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10515 + ... + 14317.

Almost surely, 247218048 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 47218048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47530980).

47218048 is an abundant number, since it is smaller than the sum of its proper divisors (47843912).

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

47218048 is an equidigital number, since it uses as much as digits as its factorization.

47218048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3914 (or 3902 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 34.

The square root of 47218048 is about 6871.5389833719. The cubic root of 47218048 is about 361.4398303874.

It can be divided in two parts, 4721 and 8048, that added together give a square (12769 = 1132).

The spelling of 47218048 in words is "forty-seven million, two hundred eighteen thousand, forty-eight".

Divisors: 1 2 4 8 16 32 64 97 128 194 388 776 1552 3104 3803 6208 7606 12416 15212 30424 60848 121696 243392 368891 486784 737782 1475564 2951128 5902256 11804512 23609024 47218048