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480952944 = 24331113317
BaseRepresentation
bin11100101010101…
…100001001110000
31020111222221102000
4130222230021300
51441110443234
6115420254000
714630014113
oct3452541160
91214887360
10480952944
1122753807a
121150a1300
1378846654
1447c3857a
152c354899
hex1caac270

480952944 has 40 divisors (see below), whose sum is σ = 1380514320. Its totient is φ = 160317504.

The previous prime is 480952943. The next prime is 480952949. The reversal of 480952944 is 449259084.

480952944 is a `hidden beast` number, since 4 + 80 + 9 + 529 + 44 = 666.

It is a super-3 number, since 3×4809529443 (a number of 27 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 480952944.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480952943) 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, 556227 + ... + 557090.

It is an arithmetic number, because the mean of its divisors is an integer number (34512858).

Almost surely, 2480952944 is an apocalyptic number.

It is an amenable number.

480952944 is an abundant number, since it is smaller than the sum of its proper divisors (899561376).

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

480952944 is a wasteful number, since it uses less digits than its factorization.

480952944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1113334 (or 1113322 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 480952944 is about 21930.6393887638. The cubic root of 480952944 is about 783.4913315017.

The spelling of 480952944 in words is "four hundred eighty million, nine hundred fifty-two thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 1113317 2226634 3339951 4453268 6679902 8906536 10019853 13359804 17813072 20039706 26719608 30059559 40079412 53439216 60119118 80158824 120238236 160317648 240476472 480952944