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4240232000 = 2653618689
BaseRepresentation
bin1111110010111100…
…1100111001000000
3101221111202002210122
43330233030321000
532140444411000
61540430515412
7210035243264
oct37457147100
911844662718
104240232000
111886556074
129a4065b68
13527624024
142c320a0a4
1519c3ca085
hexfcbcce40

4240232000 has 112 divisors (see below), whose sum is σ = 10674309360. Its totient is φ = 1668096000.

The previous prime is 4240231991. The next prime is 4240232023. The reversal of 4240232000 is 2320424.

It can be written as a sum of positive squares in 8 ways, for example, as 1662029824 + 2578202176 = 40768^2 + 50776^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 4240232000.

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 15 ways as a sum of consecutive naturals, for example, 483656 + ... + 492344.

Almost surely, 24240232000 is an apocalyptic number.

4240232000 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 4240232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5337154680).

4240232000 is an abundant number, since it is smaller than the sum of its proper divisors (6434077360).

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

4240232000 is an equidigital number, since it uses as much as digits as its factorization.

4240232000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8777 (or 8757 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 17.

The square root of 4240232000 is about 65117.0638158693. The cubic root of 4240232000 is about 1618.5639868148.

Adding to 4240232000 its reverse (2320424), we get a palindrome (4242552424).

The spelling of 4240232000 in words is "four billion, two hundred forty million, two hundred thirty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 61 64 80 100 122 125 160 200 244 250 305 320 400 488 500 610 800 976 1000 1220 1525 1600 1952 2000 2440 3050 3904 4000 4880 6100 7625 8000 8689 9760 12200 15250 17378 19520 24400 30500 34756 43445 48800 61000 69512 86890 97600 122000 139024 173780 217225 244000 278048 347560 434450 488000 530029 556096 695120 868900 1060058 1086125 1390240 1737800 2120116 2172250 2650145 2780480 3475600 4240232 4344500 5300290 6951200 8480464 8689000 10600580 13250725 13902400 16960928 17378000 21201160 26501450 33921856 34756000 42402320 53002900 66253625 69512000 84804640 106005800 132507250 169609280 212011600 265014500 424023200 530029000 848046400 1060058000 2120116000 4240232000