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480393952 = 2571211441
BaseRepresentation
bin11100101000100…
…011101011100000
31020110221112121121
4130220203223200
51440440101302
6115400302024
714622165313
oct3450435340
91213845547
10480393952
112271960a5
12114a71914
13786ac09c
1447b3097a
152c293e37
hex1ca23ae0

480393952 has 24 divisors (see below), whose sum is σ = 959100912. Its totient is φ = 236812800.

The previous prime is 480393943. The next prime is 480393983. The reversal of 480393952 is 259393084.

It is a junction number, because it is equal to n+sod(n) for n = 480393899 and 480393908.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 103449 + ... + 107992.

It is an arithmetic number, because the mean of its divisors is an integer number (39962538).

Almost surely, 2480393952 is an apocalyptic number.

It is an amenable number.

480393952 is a deficient number, since it is larger than the sum of its proper divisors (478706960).

480393952 is a wasteful number, since it uses less digits than its factorization.

480393952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211522 (or 211514 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 43.

The square root of 480393952 is about 21917.8911394322. The cubic root of 480393952 is about 783.1876738169.

The spelling of 480393952 in words is "four hundred eighty million, three hundred ninety-three thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 16 32 71 142 284 568 1136 2272 211441 422882 845764 1691528 3383056 6766112 15012311 30024622 60049244 120098488 240196976 480393952