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2057438881 = 6726772
BaseRepresentation
bin111101010100010…
…0000011010100001
312022101102201120001
41322220200122201
513203201021011
6540054020001
7101661641041
oct17250403241
95271381501
102057438881
11966409313
12495047601
1326a338674
1415736b721
15c095b7c1
hex7aa206a1

2057438881 has 9 divisors (see below), whose sum is σ = 2091694899. Its totient is φ = 2023737144.

The previous prime is 2057438879. The next prime is 2057438891. The reversal of 2057438881 is 1888347502.

The square root of 2057438881 is 45359.

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., 2045300625 + 12138256 = 45225^2 + 3484^2 .

It is not a de Polignac number, because 2057438881 - 21 = 2057438879 is a prime.

It is a super-2 number, since 2×20574388812 = 8466109498101064322, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2057438861) 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, 3038715 + ... + 3039391.

Almost surely, 22057438881 is an apocalyptic number.

2057438881 is the 45359-th square number.

2057438881 is the 22680-th centered octagonal number.

It is an amenable number.

2057438881 is a deficient number, since it is larger than the sum of its proper divisors (34256018).

2057438881 is an frugal number, since it uses more digits than its factorization.

2057438881 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1488 (or 744 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 46.

The cubic root of 2057438881 is about 1271.8688011989.

The spelling of 2057438881 in words is "two billion, fifty-seven million, four hundred thirty-eight thousand, eight hundred eighty-one".

Divisors: 1 67 677 4489 45359 458329 3039053 30708043 2057438881