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2154909241 = 6127612
BaseRepresentation
bin1000000001110001…
…0100111000111001
312120011211201202101
42000130110320321
513403124043431
6553455103401
7104254266142
oct20034247071
95504751671
102154909241
11a06432231
12501811b61
132845a4934
141662a0ac9
15c92b1961
hex80714e39

2154909241 has 9 divisors (see below), whose sum is σ = 2193697389. Its totient is φ = 2116797600.

The previous prime is 2154909233. The next prime is 2154909311. The reversal of 2154909241 is 1429094512.

The square root of 2154909241 is 46421.

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

It can be written as a sum of positive squares in 4 ways, for example, as 2040419241 + 114490000 = 45171^2 + 10700^2 .

It is not a de Polignac number, because 2154909241 - 23 = 2154909233 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2154909241.

It is not an unprimeable number, because it can be changed into a prime (2154903241) 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, 2831301 + ... + 2832061.

Almost surely, 22154909241 is an apocalyptic number.

2154909241 is the 46421-st square number.

2154909241 is the 23211-st centered octagonal number.

It is an amenable number.

2154909241 is a deficient number, since it is larger than the sum of its proper divisors (38788148).

2154909241 is an frugal number, since it uses more digits than its factorization.

2154909241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1644 (or 822 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 37.

The cubic root of 2154909241 is about 1291.6444866636.

The spelling of 2154909241 in words is "two billion, one hundred fifty-four million, nine hundred nine thousand, two hundred forty-one".

Divisors: 1 61 761 3721 46421 579121 2831681 35326381 2154909241