Search a number
-
+
1264442481 = 384392
BaseRepresentation
bin100101101011101…
…1101110001110001
310021010021100000000
41023113131301301
510042144124411
6325245220213
743222404141
oct11327356161
93233240000
101264442481
11599821395
122b3561669
13171c68523
14bdd06921
1576019956
hex4b5ddc71

1264442481 has 27 divisors (see below), whose sum is σ = 1900897401. Its totient is φ = 841041468.

The previous prime is 1264442471. The next prime is 1264442483. The reversal of 1264442481 is 1842444621.

The square root of 1264442481 is 35559.

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

1264442481 is a `hidden beast` number, since 1 + 2 + 644 + 4 + 2 + 4 + 8 + 1 = 666.

It is a tau number, because it is divible by the number of its divisors (27).

It is a de Polignac number, because none of the positive numbers 2k-1264442481 is a prime.

It is a super-2 number, since 2×12644424812 = 3197629575514870722, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1264442483) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2880060 + ... + 2880498.

Almost surely, 21264442481 is an apocalyptic number.

1264442481 is the 35559-th square number.

1264442481 is the 17780-th centered octagonal number.

It is an amenable number.

1264442481 is a deficient number, since it is larger than the sum of its proper divisors (636454920).

1264442481 is an frugal number, since it uses more digits than its factorization.

1264442481 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 902 (or 442 counting only the distinct ones).

The product of its digits is 49152, while the sum is 36.

The cubic root of 1264442481 is about 1081.3501863307.

Multiplying 1264442481 by its sum of digits (36), we get a square (45519929316 = 2133542).

The spelling of 1264442481 in words is "one billion, two hundred sixty-four million, four hundred forty-two thousand, four hundred eighty-one".

Divisors: 1 3 9 27 81 243 439 729 1317 2187 3951 6561 11853 35559 106677 192721 320031 578163 960093 1734489 2880279 5203467 15610401 46831203 140493609 421480827 1264442481