Search a number
-
+
2854871761 = 721724492
BaseRepresentation
bin1010101000101001…
…1110001011010001
321100221221111211011
42222022132023101
521321321344021
61151141450521
7130514003200
oct25212361321
97327844734
102854871761
111235556455
12678110a41
133665ccc41
141d1229237
1511a977de1
hexaa29e2d1

2854871761 has 27 divisors (see below), whose sum is σ = 3535690449. Its totient is φ = 2297960448.

The previous prime is 2854871753. The next prime is 2854871821. The reversal of 2854871761 is 1671784582.

The square root of 2854871761 is 53431.

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 448380625 + 2406491136 = 21175^2 + 49056^2 .

It is not a de Polignac number, because 2854871761 - 23 = 2854871753 is a prime.

It is a super-2 number, since 2×28548717612 = 16300585543510482242, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2854851761) 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, 6358065 + ... + 6358513.

Almost surely, 22854871761 is an apocalyptic number.

2854871761 is the 53431-st square number.

2854871761 is the 26716-th centered octagonal number.

It is an amenable number.

2854871761 is a deficient number, since it is larger than the sum of its proper divisors (680818688).

2854871761 is an frugal number, since it uses more digits than its factorization.

2854871761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 946 (or 473 counting only the distinct ones).

The product of its digits is 752640, while the sum is 49.

The cubic root of 2854871761 is about 1418.6073367362.

Multiplying 2854871761 by its sum of digits (49), we get a square (139888716289 = 3740172).

2854871761 divided by its sum of digits (49) gives a square (58262689 = 76332).

The spelling of 2854871761 in words is "two billion, eight hundred fifty-four million, eight hundred seventy-one thousand, seven hundred sixty-one".

Divisors: 1 7 17 49 119 289 449 833 2023 3143 7633 14161 22001 53431 129761 201601 374017 908327 1411207 3427217 6358289 9878449 23990519 58262689 167933633 407838823 2854871761