Search a number
-
+
2468493280 = 255113134481
BaseRepresentation
bin1001001100100010…
…0011011111100000
320101000220110012001
42103020203133200
520023413241110
61044540213344
7115112563261
oct22310433740
96330813161
102468493280
1110574445a0
1258a83a254
1330454a716
14195bac968
15e6aa563a
hex932237e0

2468493280 has 96 divisors (see below), whose sum is σ = 6383730528. Its totient is φ = 894566400.

The previous prime is 2468493241. The next prime is 2468493337. The reversal of 2468493280 is 823948642.

It is a self number, because there is not a number n which added to its sum of digits gives 2468493280.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 548640 + ... + 553120.

It is an arithmetic number, because the mean of its divisors is an integer number (66497193).

Almost surely, 22468493280 is an apocalyptic number.

2468493280 is a gapful number since it is divisible by the number (20) 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 2468493280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3191865264).

2468493280 is an abundant number, since it is smaller than the sum of its proper divisors (3915237248).

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

2468493280 is a wasteful number, since it uses less digits than its factorization.

2468493280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4820 (or 4812 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 46.

The square root of 2468493280 is about 49683.9338217094. The cubic root of 2468493280 is about 1351.4831947466.

The spelling of 2468493280 in words is "two billion, four hundred sixty-eight million, four hundred ninety-three thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 313 352 440 626 880 1252 1565 1760 2504 3130 3443 4481 5008 6260 6886 8962 10016 12520 13772 17215 17924 22405 25040 27544 34430 35848 44810 49291 50080 55088 68860 71696 89620 98582 110176 137720 143392 179240 197164 246455 275440 358480 394328 492910 550880 716960 788656 985820 1402553 1577312 1971640 2805106 3943280 5610212 7012765 7886560 11220424 14025530 15428083 22440848 28051060 30856166 44881696 56102120 61712332 77140415 112204240 123424664 154280830 224408480 246849328 308561660 493698656 617123320 1234246640 2468493280