Search a number
-
+
1959921441 = 3449192
BaseRepresentation
bin111010011010010…
…0000011100100001
312001120221022210000
41310310200130201
513003214441231
6522251530213
766366025452
oct16464403441
95046838700
101959921441
11916362a95
12468459969
13253083b3a
14148425129
15b70e76e6
hex74d20721

1959921441 has 15 divisors (see below), whose sum is σ = 2928379201. Its totient is φ = 1306348668.

The previous prime is 1959921433. The next prime is 1959921443. The reversal of 1959921441 is 1441299591.

The square root of 1959921441 is 44271.

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

1959921441 is a `hidden beast` number, since 1 + 9 + 599 + 2 + 14 + 41 = 666.

It is not a de Polignac number, because 1959921441 - 23 = 1959921433 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1959921443) 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 14 ways as a sum of consecutive naturals, for example, 395980 + ... + 400898.

Almost surely, 21959921441 is an apocalyptic number.

1959921441 is the 44271-st square number.

1959921441 is the 22136-th centered octagonal number.

It is an amenable number.

1959921441 is a deficient number, since it is larger than the sum of its proper divisors (968457760).

1959921441 is an frugal number, since it uses more digits than its factorization.

1959921441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9850 (or 4922 counting only the distinct ones).

The product of its digits is 116640, while the sum is 45.

The cubic root of 1959921441 is about 1251.4482288718.

The spelling of 1959921441 in words is "one billion, nine hundred fifty-nine million, nine hundred twenty-one thousand, four hundred forty-one".

Divisors: 1 3 9 27 81 4919 14757 44271 132813 398439 24196561 72589683 217769049 653307147 1959921441