Search a number
-
+
1813840752 = 243317331663
BaseRepresentation
bin110110000011101…
…0000001101110000
311200102001122202010
41230013100031300
512203320401002
6455552522520
762643251313
oct15407201560
94612048663
101813840752
11850958449
12427550440
1322ba27b69
14132c7a97a
15a938e46c
hex6c1d0370

1813840752 has 80 divisors (see below), whose sum is σ = 4846419968. Its totient is φ = 583960320.

The previous prime is 1813840729. The next prime is 1813840759. The reversal of 1813840752 is 2570483181.

It is a self number, because there is not a number n which added to its sum of digits gives 1813840752.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1813840759) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1089873 + ... + 1091535.

Almost surely, 21813840752 is an apocalyptic number.

1813840752 is a gapful number since it is divisible by the number (12) 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 1813840752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2423209984).

1813840752 is an abundant number, since it is smaller than the sum of its proper divisors (3032579216).

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

1813840752 is a wasteful number, since it uses less digits than its factorization.

1813840752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2438 (or 2432 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 39.

The square root of 1813840752 is about 42589.2093375775. The cubic root of 1813840752 is about 1219.5503027721.

The spelling of 1813840752 in words is "one billion, eight hundred thirteen million, eight hundred forty thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 186 248 372 496 733 744 1466 1488 1663 2199 2932 3326 4398 4989 5864 6652 8796 9978 11728 13304 17592 19956 22723 26608 35184 39912 45446 51553 68169 79824 90892 103106 136338 154659 181784 206212 272676 309318 363568 412424 545352 618636 824848 1090704 1218979 1237272 2437958 2474544 3656937 4875916 7313874 9751832 14627748 19503664 29255496 37788349 58510992 75576698 113365047 151153396 226730094 302306792 453460188 604613584 906920376 1813840752