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4305250040 = 2357133493389
BaseRepresentation
bin1000000001001110…
…01110011011111000
3102010001002100210012
410000213032123320
532304121000130
61551112241052
7211455010250
oct40047163370
912101070705
104305250040
11190a224093
12a019a0188
13537c3a040
142cbad2960
151a2e6e995
hex1009ce6f8

4305250040 has 128 divisors (see below), whose sum is σ = 11959920000. Its totient is φ = 1358235648.

The previous prime is 4305250039. The next prime is 4305250057. The reversal of 4305250040 is 400525034.

It is a junction number, because it is equal to n+sod(n) for n = 4305249988 and 4305250015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1268666 + ... + 1272054.

It is an arithmetic number, because the mean of its divisors is an integer number (93436875).

Almost surely, 24305250040 is an apocalyptic number.

4305250040 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 4305250040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5979960000).

4305250040 is an abundant number, since it is smaller than the sum of its proper divisors (7654669960).

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

4305250040 is a wasteful number, since it uses less digits than its factorization.

4305250040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3769 (or 3765 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 23.

The square root of 4305250040 is about 65614.4042112706. The cubic root of 4305250040 is about 1626.7948660122.

Adding to 4305250040 its reverse (400525034), we get a palindrome (4705775074).

The spelling of 4305250040 in words is "four billion, three hundred five million, two hundred fifty thousand, forty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 52 56 65 70 91 104 130 140 182 260 280 349 364 455 520 698 728 910 1396 1745 1820 2443 2792 3389 3490 3640 4537 4886 6778 6980 9074 9772 12215 13556 13960 16945 18148 19544 22685 23723 24430 27112 31759 33890 36296 44057 45370 47446 48860 63518 67780 88114 90740 94892 97720 118615 127036 135560 158795 176228 181480 189784 220285 237230 254072 308399 317590 352456 440570 474460 616798 635180 881140 948920 1182761 1233596 1270360 1541995 1762280 2365522 2467192 3083990 4731044 5913805 6167980 8279327 9462088 11827610 12335960 15375893 16558654 23655220 30751786 33117308 41396635 47310440 61503572 66234616 76879465 82793270 107631251 123007144 153758930 165586540 215262502 307517860 331173080 430525004 538156255 615035720 861050008 1076312510 2152625020 4305250040