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4253115040 = 255191738087
BaseRepresentation
bin1111110110000001…
…0110001010100000
3101222101222122000021
43331200112022200
532202244140130
61542011003224
7210252611206
oct37540261240
911871878007
104253115040
111892855309
129a8439514
1352a1b4c25
142c4c01076
1519d5c237a
hexfd8162a0

4253115040 has 96 divisors (see below), whose sum is σ = 10639278720. Its totient is φ = 1602192384.

The previous prime is 4253115011. The next prime is 4253115049. The reversal of 4253115040 is 405113524.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 4253114996 and 4253115014.

It is not an unprimeable number, because it can be changed into a prime (4253115049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 521877 + ... + 529963.

It is an arithmetic number, because the mean of its divisors is an integer number (110825820).

Almost surely, 24253115040 is an apocalyptic number.

4253115040 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 4253115040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5319639360).

4253115040 is an abundant number, since it is smaller than the sum of its proper divisors (6386163680).

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

4253115040 is a wasteful number, since it uses less digits than its factorization.

4253115040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8294 (or 8286 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 4253115040 is about 65215.9109420393. The cubic root of 4253115040 is about 1620.2015498866.

Adding to 4253115040 its reverse (405113524), we get a palindrome (4658228564).

The spelling of 4253115040 in words is "four billion, two hundred fifty-three million, one hundred fifteen thousand, forty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 76 80 95 152 160 173 190 304 346 380 608 692 760 865 1384 1520 1730 2768 3040 3287 3460 5536 6574 6920 8087 13148 13840 16174 16435 26296 27680 32348 32870 40435 52592 64696 65740 80870 105184 129392 131480 153653 161740 258784 262960 307306 323480 525920 614612 646960 768265 1229224 1293920 1399051 1536530 2458448 2798102 3073060 4916896 5596204 6146120 6995255 11192408 12292240 13990510 22384816 24584480 26581969 27981020 44769632 53163938 55962040 106327876 111924080 132909845 212655752 223848160 265819690 425311504 531639380 850623008 1063278760 2126557520 4253115040