Search a number
-
+
4102455040 = 2857394337
BaseRepresentation
bin1111010010000110…
…0111111100000000
3101120220111022100021
43310201213330000
531400212030130
61515025503224
7203443202215
oct36441477400
911526438307
104102455040
111815802212
12965aa1b14
13504c147b8
142acbc3b0c
1519026237a
hexf4867f00

4102455040 has 72 divisors (see below), whose sum is σ = 9842227920. Its totient is φ = 1638383616.

The previous prime is 4102455037. The next prime is 4102455061. The reversal of 4102455040 is 405542014.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 4102454996 and 4102455014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 943752 + ... + 948088.

It is an arithmetic number, because the mean of its divisors is an integer number (136697610).

Almost surely, 24102455040 is an apocalyptic number.

4102455040 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 4102455040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4921113960).

4102455040 is an abundant number, since it is smaller than the sum of its proper divisors (5739772880).

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

4102455040 is an equidigital number, since it uses as much as digits as its factorization.

4102455040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5097 (or 5083 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 25.

The square root of 4102455040 is about 64050.4101470084. The cubic root of 4102455040 is about 1600.8400588610.

Adding to 4102455040 its reverse (405542014), we get a palindrome (4507997054).

The spelling of 4102455040 in words is "four billion, one hundred two million, four hundred fifty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 640 739 1280 1478 2956 3695 4337 5912 7390 8674 11824 14780 17348 21685 23648 29560 34696 43370 47296 59120 69392 86740 94592 118240 138784 173480 189184 236480 277568 346960 472960 555136 693920 945920 1110272 1387840 2775680 3205043 5551360 6410086 12820172 16025215 25640344 32050430 51280688 64100860 102561376 128201720 205122752 256403440 410245504 512806880 820491008 1025613760 2051227520 4102455040