Search a number
-
+
4522001440 = 255119672657
BaseRepresentation
bin1000011011000100…
…00100010000100000
3102200010221110210211
410031202010100200
533230113021230
62024414103504
7220026243445
oct41542042040
912603843724
104522001440
111a10608680
12a624aab94
13570b0abc8
1430c7d59cc
151b6ed742a
hex10d884420

4522001440 has 96 divisors (see below), whose sum is σ = 11670873984. Its totient is φ = 1642045440.

The previous prime is 4522001437. The next prime is 4522001441. The reversal of 4522001440 is 441002254.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (4522001441) 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, 1700592 + ... + 1703248.

It is an arithmetic number, because the mean of its divisors is an integer number (121571604).

Almost surely, 24522001440 is an apocalyptic number.

4522001440 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 4522001440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5835436992).

4522001440 is an abundant number, since it is smaller than the sum of its proper divisors (7148872544).

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

4522001440 is a wasteful number, since it uses less digits than its factorization.

4522001440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3650 (or 3642 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 22.

The square root of 4522001440 is about 67245.8284208024. The cubic root of 4522001440 is about 1653.6498866359.

Adding to 4522001440 its reverse (441002254), we get a palindrome (4963003694).

The spelling of 4522001440 in words is "four billion, five hundred twenty-two million, one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 967 1760 1934 2657 3868 4835 5314 7736 9670 10628 10637 13285 15472 19340 21256 21274 26570 29227 30944 38680 42512 42548 53140 53185 58454 77360 85024 85096 106280 106370 116908 146135 154720 170192 212560 212740 233816 292270 340384 425120 425480 467632 584540 850960 935264 1169080 1701920 2338160 2569319 4676320 5138638 10277276 12846595 20554552 25693190 28262509 41109104 51386380 56525018 82218208 102772760 113050036 141312545 205545520 226100072 282625090 411091040 452200144 565250180 904400288 1130500360 2261000720 4522001440