Search a number
-
+
4146200881 = 19233892
BaseRepresentation
bin1111011100100010…
…0000000100110001
3101200221210211100121
43313020200010301
531442411412011
61523231250241
7204514061134
oct36710400461
911627724317
104146200881
1118384710a9
12978679981
13510cc0304
142b493021b
15194003e71
hexf7220131

4146200881 has 9 divisors (see below), whose sum is σ = 4377198891. Its totient is φ = 3926820744.

The previous prime is 4146200879. The next prime is 4146200893. The reversal of 4146200881 is 1880026414.

The square root of 4146200881 is 64391.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 4024760481 + 121440400 = 63441^2 + 11020^2 .

It is not a de Polignac number, because 4146200881 - 21 = 4146200879 is a prime.

It is a super-2 number, since 2×41462008812 = 34381963491210352322, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4146200801) 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 8 ways as a sum of consecutive naturals, for example, 1221735 + ... + 1225123.

Almost surely, 24146200881 is an apocalyptic number.

4146200881 is the 64391-st square number.

4146200881 is the 32196-th centered octagonal number.

It is an amenable number.

4146200881 is a deficient number, since it is larger than the sum of its proper divisors (230998010).

4146200881 is an frugal number, since it uses more digits than its factorization.

4146200881 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6816 (or 3408 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 34.

The cubic root of 4146200881 is about 1606.5100491598.

The spelling of 4146200881 in words is "four billion, one hundred forty-six million, two hundred thousand, eight hundred eighty-one".

Divisors: 1 19 361 3389 64391 1223429 11485321 218221099 4146200881