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2948483268 = 22353033419
BaseRepresentation
bin1010111110111110…
…0100100011000100
321121111002110200000
42233233210203010
522014302431033
61204324121300
7133031460063
oct25757444304
97544073600
102948483268
111283384135
126a3536230
1337cb17973
141dd8361da
15123cb9a13
hexafbe48c4

2948483268 has 36 divisors (see below), whose sum is σ = 7729154160. Its totient is φ = 982827432.

The previous prime is 2948483261. The next prime is 2948483309. The reversal of 2948483268 is 8623848492.

2948483268 is a `hidden beast` number, since 29 + 484 + 83 + 2 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (2948483261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1515738 + ... + 1517681.

Almost surely, 22948483268 is an apocalyptic number.

It is an amenable number.

2948483268 is an abundant number, since it is smaller than the sum of its proper divisors (4780670892).

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

2948483268 is a wasteful number, since it uses less digits than its factorization.

2948483268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3033438 (or 3033424 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 54.

The square root of 2948483268 is about 54299.9380110143. The cubic root of 2948483268 is about 1433.9463049519.

It can be divided in two parts, 29484832 and 68, that added together give a square (29484900 = 54302).

The spelling of 2948483268 in words is "two billion, nine hundred forty-eight million, four hundred eighty-three thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 972 3033419 6066838 9100257 12133676 18200514 27300771 36401028 54601542 81902313 109203084 163804626 245706939 327609252 491413878 737120817 982827756 1474241634 2948483268