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467003268 = 223212972313
BaseRepresentation
bin11011110101011…
…110011110000100
31012112202020001100
4123311132132010
51424023101033
6114201300100
714400314364
oct3365363604
91175666040
10467003268
1121a67a516
12110494630
13759a10c4
14460469a4
152aeeb513
hex1bd5e784

467003268 has 18 divisors (see below), whose sum is σ = 1180480574. Its totient is φ = 155667744.

The previous prime is 467003267. The next prime is 467003279. The reversal of 467003268 is 862300764.

It can be written as a sum of positive squares in only one way, i.e., 340845444 + 126157824 = 18462^2 + 11232^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 12972313 = 467003268 / (4 + 6 + 7 + 0 + 0 + 3 + 2 + 6 + 8).

It is not an unprimeable number, because it can be changed into a prime (467003267) 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 5 ways as a sum of consecutive naturals, for example, 6486121 + ... + 6486192.

Almost surely, 2467003268 is an apocalyptic number.

It is an amenable number.

467003268 is an abundant number, since it is smaller than the sum of its proper divisors (713477306).

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

467003268 is a wasteful number, since it uses less digits than its factorization.

467003268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12972323 (or 12972318 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 467003268 is about 21610.2583973445. The cubic root of 467003268 is about 775.8420361679.

The spelling of 467003268 in words is "four hundred sixty-seven million, three thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 12972313 25944626 38916939 51889252 77833878 116750817 155667756 233501634 467003268