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4004253240 = 2335132566829
BaseRepresentation
bin1110111010101100…
…0000111000111000
3101100001201010210120
43232223000320320
531200042100430
61501201013240
7201141406461
oct35653007070
911301633716
104004253240
1117753297a9
12939024220
134ba780620
1429db3dd68
15186815610
hexeeac0e38

4004253240 has 64 divisors (see below), whose sum is σ = 12936823200. Its totient is φ = 985661952.

The previous prime is 4004253223. The next prime is 4004253263. The reversal of 4004253240 is 423524004.

4004253240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 4004253240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1281855 + ... + 1284974.

Almost surely, 24004253240 is an apocalyptic number.

4004253240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4004253240 is an abundant number, since it is smaller than the sum of its proper divisors (8932569960).

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

4004253240 is a wasteful number, since it uses less digits than its factorization.

4004253240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2566856 (or 2566852 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

The square root of 4004253240 is about 63279.1690843045. The cubic root of 4004253240 is about 1587.9634858056.

Adding to 4004253240 its reverse (423524004), we get a palindrome (4427777244).

The spelling of 4004253240 in words is "four billion, four million, two hundred fifty-three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 780 1560 2566829 5133658 7700487 10267316 12834145 15400974 20534632 25668290 30801948 33368777 38502435 51336580 61603896 66737554 77004870 100106331 102673160 133475108 154009740 166843885 200212662 266950216 308019480 333687770 400425324 500531655 667375540 800850648 1001063310 1334751080 2002126620 4004253240