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5770400 = 25527213
BaseRepresentation
bin10110000000110010100000
3101212011111112
4112000302200
52434123100
6323402452
7100022216
oct26006240
911764445
105770400
113291429
121b23428
13127064c
14aa2cb6
1578eb35
hex580ca0

5770400 has 36 divisors (see below), whose sum is σ = 14088942. Its totient is φ = 2307840.

The previous prime is 5770399. The next prime is 5770411. The reversal of 5770400 is 40775.

It is a happy number.

5770400 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 5071504 + 698896 = 2252^2 + 836^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2807 + ... + 4406.

Almost surely, 25770400 is an apocalyptic number.

5770400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5770400 is an abundant number, since it is smaller than the sum of its proper divisors (8318542).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5770400 is a wasteful number, since it uses less digits than its factorization.

5770400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7233 (or 7220 counting only the distinct ones).

The product of its (nonzero) digits is 980, while the sum is 23.

The square root of 5770400 is about 2402.1656895393. The cubic root of 5770400 is about 179.3640106660.

The spelling of 5770400 in words is "five million, seven hundred seventy thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 7213 14426 28852 36065 57704 72130 115408 144260 180325 230816 288520 360650 577040 721300 1154080 1442600 2885200 5770400