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4429568025 = 3652172292
BaseRepresentation
bin1000010000000010…
…11101100000011001
3102102201000101000000
410020001131200121
533032432134100
62011313003213
7214524464331
oct41001354031
912381011000
104429568025
111973415023
12a37553509
1355791648c
143004140c1
151add29900
hex10805d819

4429568025 has 189 divisors, whose sum is σ = 9060212551. Its totient is φ = 2146798080.

The previous prime is 4429567997. The next prime is 4429568057. The reversal of 4429568025 is 5208659244.

The square root of 4429568025 is 66555.

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

4429568025 is a `hidden beast` number, since 44 + 29 + 568 + 0 + 25 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 1443164121 + 2986403904 = 37989^2 + 54648^2 .

It is not a de Polignac number, because 4429568025 - 211 = 4429565977 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is a Curzon number.

It is an unprimeable number.

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 188 ways as a sum of consecutive naturals, for example, 152743711 + ... + 152743739.

Almost surely, 24429568025 is an apocalyptic number.

4429568025 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

4429568025 is the 66555-th square number.

4429568025 is the 33278-th centered octagonal number.

It is an amenable number.

4429568025 is an abundant number, since it is smaller than the sum of its proper divisors (4630644526).

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

4429568025 is an equidigital number, since it uses as much as digits as its factorization.

4429568025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The cubic root of 4429568025 is about 1642.3049120893.

The spelling of 4429568025 in words is "four billion, four hundred twenty-nine million, five hundred sixty-eight thousand, twenty-five".