Search a number
-
+
4147013408 = 25532445173
BaseRepresentation
bin1111011100101110…
…0110011100100000
3101201000100002221012
43313023212130200
531443113412113
61523300520052
7204524014046
oct36713463440
911630302835
104147013408
11183897660a
129789b0028
135112160b5
142b4aa2396
15194114aa8
hexf72e6720

4147013408 has 24 divisors (see below), whose sum is σ = 8318481948. Its totient is φ = 2034383104.

The previous prime is 4147013401. The next prime is 4147013449. The reversal of 4147013408 is 8043107414.

It can be written as a sum of positive squares in 2 ways, for example, as 3328366864 + 818646544 = 57692^2 + 28612^2 .

It is a super-2 number, since 2×41470134082 = 34395440412263548928, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (4147013401) 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 3 ways as a sum of consecutive naturals, for example, 1220891 + ... + 1224282.

Almost surely, 24147013408 is an apocalyptic number.

It is an amenable number.

4147013408 is an abundant number, since it is smaller than the sum of its proper divisors (4171468540).

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

4147013408 is a wasteful number, since it uses less digits than its factorization.

4147013408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2445236 (or 2445228 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 32.

The square root of 4147013408 is about 64397.3090121008. The cubic root of 4147013408 is about 1606.6149843819.

The spelling of 4147013408 in words is "four billion, one hundred forty-seven million, thirteen thousand, four hundred eight".

Divisors: 1 2 4 8 16 32 53 106 212 424 848 1696 2445173 4890346 9780692 19561384 39122768 78245536 129594169 259188338 518376676 1036753352 2073506704 4147013408