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4252445440 = 2854377261
BaseRepresentation
bin1111110101110111…
…0010101100000000
3101222100201121111021
43331131302230000
532202111223230
61541544355224
7210244122055
oct37535625400
911870647437
104252445440
111892438221
129a8175b14
1352a00c209
142c4aa902c
1519d4ddc7a
hexfd772b00

4252445440 has 72 divisors (see below), whose sum is σ = 10422952848. Its totient is φ = 1661399040.

The previous prime is 4252445437. The next prime is 4252445441. The reversal of 4252445440 is 445442524.

It is a junction number, because it is equal to n+sod(n) for n = 4252445396 and 4252445405.

It is not an unprimeable number, because it can be changed into a prime (4252445441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16410 + ... + 93670.

It is an arithmetic number, because the mean of its divisors is an integer number (144763234).

Almost surely, 24252445440 is an apocalyptic number.

4252445440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4252445440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5211476424).

4252445440 is an abundant number, since it is smaller than the sum of its proper divisors (6170507408).

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

4252445440 is an equidigital number, since it uses as much as digits as its factorization.

4252445440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77325 (or 77311 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 34.

The square root of 4252445440 is about 65210.7770234338. Note that the first 3 decimals coincide. The cubic root of 4252445440 is about 1620.1165185714.

Adding to 4252445440 its reverse (445442524), we get a palindrome (4697887964).

The spelling of 4252445440 in words is "four billion, two hundred fifty-two million, four hundred forty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 43 64 80 86 128 160 172 215 256 320 344 430 640 688 860 1280 1376 1720 2752 3440 5504 6880 11008 13760 27520 55040 77261 154522 309044 386305 618088 772610 1236176 1545220 2472352 3090440 3322223 4944704 6180880 6644446 9889408 12361760 13288892 16611115 19778816 24723520 26577784 33222230 49447040 53155568 66444460 98894080 106311136 132888920 212622272 265777840 425244544 531555680 850489088 1063111360 2126222720 4252445440