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47967296 = 261357653
BaseRepresentation
bin1011011011111…
…0110001000000
310100020222202112
42312332301000
544234423141
64432034452
71121500226
oct266766100
9110228675
1047967296
11250925a3
1214092a28
139c26120
146528b16
1543277eb
hex2dbec40

47967296 has 28 divisors (see below), whose sum is σ = 102508812. Its totient is φ = 22138368.

The previous prime is 47967287. The next prime is 47967313. The reversal of 47967296 is 69276974.

47967296 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 21752896 + 26214400 = 4664^2 + 5120^2 .

It is a super-2 number, since 2×479672962 = 4601722971103232, which contains 22 as substring.

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 3 ways as a sum of consecutive naturals, for example, 27995 + ... + 29658.

It is an arithmetic number, because the mean of its divisors is an integer number (3661029).

Almost surely, 247967296 is an apocalyptic number.

It is an amenable number.

47967296 is an abundant number, since it is smaller than the sum of its proper divisors (54541516).

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

47967296 is a wasteful number, since it uses less digits than its factorization.

47967296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57678 (or 57668 counting only the distinct ones).

The product of its digits is 1143072, while the sum is 50.

The square root of 47967296 is about 6925.8426202160. The cubic root of 47967296 is about 363.3415621587.

The spelling of 47967296 in words is "forty-seven million, nine hundred sixty-seven thousand, two hundred ninety-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 416 832 57653 115306 230612 461224 749489 922448 1498978 1844896 2997956 3689792 5995912 11991824 23983648 47967296