Search a number
-
+
468562760 = 23541285709
BaseRepresentation
bin11011111011011…
…011001101001000
31012122200110021022
4123323123031020
51424423002020
6114254532012
714416501121
oct3373331510
91178613238
10468562760
11220545156
12110b07008
13760c8b93
1446331048
152b208625
hex1bedb348

468562760 has 32 divisors (see below), whose sum is σ = 1079983800. Its totient is φ = 182853120.

The previous prime is 468562753. The next prime is 468562763. The reversal of 468562760 is 67265864.

It can be written as a sum of positive squares in 4 ways, for example, as 332187076 + 136375684 = 18226^2 + 11678^2 .

It is not an unprimeable number, because it can be changed into a prime (468562763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 141215 + ... + 144494.

Almost surely, 2468562760 is an apocalyptic number.

468562760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

468562760 is an abundant number, since it is smaller than the sum of its proper divisors (611421040).

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

468562760 is a wasteful number, since it uses less digits than its factorization.

468562760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285761 (or 285757 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 44.

The square root of 468562760 is about 21646.3105401359. The cubic root of 468562760 is about 776.7046819201.

The spelling of 468562760 in words is "four hundred sixty-eight million, five hundred sixty-two thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 41 82 164 205 328 410 820 1640 285709 571418 1142836 1428545 2285672 2857090 5714180 11428360 11714069 23428138 46856276 58570345 93712552 117140690 234281380 468562760