Search a number
-
+
468063760 = 24515138747
BaseRepresentation
bin11011111001100…
…001011000010000
31012121202002202211
4123321201120100
51424311020020
6114240121504
714412322243
oct3371413020
91177662684
10468063760
1122023425a
12110906294
1375c82a08
144624125a
152b15a85a
hex1be61610

468063760 has 40 divisors (see below), whose sum is σ = 1095483456. Its totient is φ = 185980800.

The previous prime is 468063719. The next prime is 468063763. The reversal of 468063760 is 67360864.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (468063763) 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 7 ways as a sum of consecutive naturals, for example, 7294 + ... + 31453.

Almost surely, 2468063760 is an apocalyptic number.

468063760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

468063760 is an abundant number, since it is smaller than the sum of its proper divisors (627419696).

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

468063760 is a wasteful number, since it uses less digits than its factorization.

468063760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38911 (or 38905 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 40.

The square root of 468063760 is about 21634.7812561163. The cubic root of 468063760 is about 776.4288645093.

The spelling of 468063760 in words is "four hundred sixty-eight million, sixty-three thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 151 302 604 755 1208 1510 2416 3020 6040 12080 38747 77494 154988 193735 309976 387470 619952 774940 1549880 3099760 5850797 11701594 23403188 29253985 46806376 58507970 93612752 117015940 234031880 468063760