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47000268 = 22327414549
BaseRepresentation
bin1011001101001…
…0101011001100
310021102212020200
42303102223030
544013002033
64355213500
71110332010
oct263225314
9107385220
1047000268
1124591aa7
12138a7290
139977c13
146356540
1541d6013
hex2cd2acc

47000268 has 72 divisors (see below), whose sum is σ = 139120800. Its totient is φ = 13098240.

The previous prime is 47000263. The next prime is 47000269. The reversal of 47000268 is 86200074.

47000268 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (47000263) 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 23 ways as a sum of consecutive naturals, for example, 8058 + ... + 12606.

Almost surely, 247000268 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 47000268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69560400).

47000268 is an abundant number, since it is smaller than the sum of its proper divisors (92120532).

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

47000268 is a wasteful number, since it uses less digits than its factorization.

47000268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4607 (or 4602 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 47000268 is about 6855.6741462820. The cubic root of 47000268 is about 360.8832939455.

The spelling of 47000268 in words is "forty-seven million, two hundred sixty-eight", and thus it is an aban number.

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 41 42 63 82 84 123 126 164 246 252 287 369 492 574 738 861 1148 1476 1722 2583 3444 4549 5166 9098 10332 13647 18196 27294 31843 40941 54588 63686 81882 95529 127372 163764 186509 191058 286587 373018 382116 559527 573174 746036 1119054 1146348 1305563 1678581 2238108 2611126 3357162 3916689 5222252 6714324 7833378 11750067 15666756 23500134 47000268