Search a number
-
+
466808240 = 2455835103
BaseRepresentation
bin11011110100101…
…110110110110000
31012112101022112002
4123310232312300
51424000330430
6114153153132
714365542653
oct3364566660
91175338462
10466808240
1121a556a38
121103bb7a8
13759333c2
1445dd589a
152aead845
hex1bd2edb0

466808240 has 20 divisors (see below), whose sum is σ = 1085329344. Its totient is φ = 186723264.

The previous prime is 466808239. The next prime is 466808291. The reversal of 466808240 is 42808664.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (20).

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 466808194 and 466808203.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 2917472 + ... + 2917631.

Almost surely, 2466808240 is an apocalyptic number.

466808240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

466808240 is an abundant number, since it is smaller than the sum of its proper divisors (618521104).

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

466808240 is a wasteful number, since it uses less digits than its factorization.

466808240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5835116 (or 5835110 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 38.

The square root of 466808240 is about 21605.7455321495. The cubic root of 466808240 is about 775.7340198012.

The spelling of 466808240 in words is "four hundred sixty-six million, eight hundred eight thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 5835103 11670206 23340412 29175515 46680824 58351030 93361648 116702060 233404120 466808240