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2769390625 = 564212
BaseRepresentation
bin1010010100010001…
…1000110000100001
321011000002121202011
42211010120300201
521132431000000
61134445352521
7125425301101
oct24504306041
97130077664
102769390625
1111a1281191
12653568741
133519a0aa1
141c3b37201
151131e02ba
hexa5118c21

2769390625 has 21 divisors (see below), whose sum is σ = 3469936053. Its totient is φ = 2210250000.

The previous prime is 2769390599. The next prime is 2769390629. The reversal of 2769390625 is 5260939672.

The square root of 2769390625 is 52625.

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

It can be written as a sum of positive squares in 10 ways, for example, as 478428129 + 2290962496 = 21873^2 + 47864^2 .

It is not a de Polignac number, because 2769390625 - 219 = 2768866337 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2769390629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 6577915 + ... + 6578335.

Almost surely, 22769390625 is an apocalyptic number.

2769390625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2769390625 is the 52625-th square number.

2769390625 is the 26313-rd centered octagonal number.

It is an amenable number.

2769390625 is a deficient number, since it is larger than the sum of its proper divisors (700545428).

2769390625 is an frugal number, since it uses more digits than its factorization.

2769390625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 872 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 49.

The cubic root of 2769390625 is about 1404.3048827816.

Multiplying 2769390625 by its sum of digits (49), we get a square (135700140625 = 3683752).

The spelling of 2769390625 in words is "two billion, seven hundred sixty-nine million, three hundred ninety thousand, six hundred twenty-five".

Divisors: 1 5 25 125 421 625 2105 3125 10525 15625 52625 177241 263125 886205 1315625 4431025 6578125 22155125 110775625 553878125 2769390625