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464482672 = 24315317669
BaseRepresentation
bin11011101011110…
…111000101110000
31012101000011102221
4123223313011300
51422401421142
6114031250424
714340015613
oct3353670560
91171004387
10464482672
11219208785
1210b679a14
13752caa24
144598c17a
152ab9e767
hex1baf7170

464482672 has 40 divisors (see below), whose sum is σ = 946546560. Its totient is φ = 220496640.

The previous prime is 464482663. The next prime is 464482679. The reversal of 464482672 is 276284464.

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (464482679) 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, 17454 + ... + 35122.

It is an arithmetic number, because the mean of its divisors is an integer number (23663664).

Almost surely, 2464482672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 464482672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473273280).

464482672 is an abundant number, since it is smaller than the sum of its proper divisors (482063888).

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

464482672 is a wasteful number, since it uses less digits than its factorization.

464482672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17761 (or 17755 counting only the distinct ones).

The product of its digits is 516096, while the sum is 43.

The square root of 464482672 is about 21551.8600589369. The cubic root of 464482672 is about 774.4436781678.

The spelling of 464482672 in words is "four hundred sixty-four million, four hundred eighty-two thousand, six hundred seventy-two".

Divisors: 1 2 4 8 16 31 53 62 106 124 212 248 424 496 848 1643 3286 6572 13144 17669 26288 35338 70676 141352 282704 547739 936457 1095478 1872914 2190956 3745828 4381912 7491656 8763824 14983312 29030167 58060334 116120668 232241336 464482672