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3941453961 = 3217212312
BaseRepresentation
bin1110101011101101…
…1101000010001001
3101011200112121101100
43222323131002021
531033003011321
61451035012013
7166446543264
oct35273350211
911150477340
103941453961
111742936775
1291bb9a009
134aa7634a3
14295673cdb
1518105d326
hexeaedd089

3941453961 has 27 divisors (see below), whose sum is σ = 6052722663. Its totient is φ = 2471060160.

The previous prime is 3941453953. The next prime is 3941453963. The reversal of 3941453961 is 1693541493.

The square root of 3941453961 is 62781.

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., 3068606025 + 872847936 = 55395^2 + 29544^2 .

It is not a de Polignac number, because 3941453961 - 23 = 3941453953 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3941453963) 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 26 ways as a sum of consecutive naturals, for example, 3201216 + ... + 3202446.

Almost surely, 23941453961 is an apocalyptic number.

3941453961 is the 62781-st square number.

3941453961 is the 31391-st centered octagonal number.

It is an amenable number.

3941453961 is a deficient number, since it is larger than the sum of its proper divisors (2111268702).

3941453961 is an equidigital number, since it uses as much as digits as its factorization.

3941453961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2502 (or 1251 counting only the distinct ones).

The product of its digits is 349920, while the sum is 45.

The cubic root of 3941453961 is about 1579.6182863874.

The spelling of 3941453961 in words is "three billion, nine hundred forty-one million, four hundred fifty-three thousand, nine hundred sixty-one".

Divisors: 1 3 9 17 51 153 289 867 1231 2601 3693 11079 20927 62781 188343 355759 1067277 1515361 3201831 4546083 13638249 25761137 77283411 231850233 437939329 1313817987 3941453961