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4253241040 = 245109487757
BaseRepresentation
bin1111110110000011…
…0100111011010000
3101222102020000211221
43331200310323100
532202312203130
61542013414424
7210253644436
oct37540647320
911872200757
104253241040
111892930a44
129a849a414
1352a22a399
142c4c34d56
1519d5e987a
hexfd834ed0

4253241040 has 40 divisors (see below), whose sum is σ = 9979528680. Its totient is φ = 1685684736.

The previous prime is 4253241001. The next prime is 4253241061. The reversal of 4253241040 is 401423524.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1464133696 + 2789107344 = 38264^2 + 52812^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 4253240996 and 4253241014.

It is a congruent number.

It is an unprimeable number.

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, 235159 + ... + 252598.

It is an arithmetic number, because the mean of its divisors is an integer number (249488217).

Almost surely, 24253241040 is an apocalyptic number.

4253241040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4253241040 is an abundant number, since it is smaller than the sum of its proper divisors (5726287640).

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

4253241040 is a wasteful number, since it uses less digits than its factorization.

4253241040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487879 (or 487873 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

The square root of 4253241040 is about 65216.8769568123. The cubic root of 4253241040 is about 1620.2175494052.

Adding to 4253241040 its reverse (401423524), we get a palindrome (4654664564).

The spelling of 4253241040 in words is "four billion, two hundred fifty-three million, two hundred forty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 109 218 436 545 872 1090 1744 2180 4360 8720 487757 975514 1951028 2438785 3902056 4877570 7804112 9755140 19510280 39020560 53165513 106331026 212662052 265827565 425324104 531655130 850648208 1063310260 2126620520 4253241040