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480267312 = 24371429367
BaseRepresentation
bin11100101000000…
…100110000110000
31020110201002220020
4130220010300300
51440422023222
6115353443440
714621130150
oct3450046060
91213632806
10480267312
11227109a38
12114a10580
1378666555
1447ada760
152c26b65c
hex1ca04c30

480267312 has 40 divisors (see below), whose sum is σ = 1417933056. Its totient is φ = 137219136.

The previous prime is 480267311. The next prime is 480267331. The reversal of 480267312 is 213762084.

It is not an unprimeable number, because it can be changed into a prime (480267311) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 714348 + ... + 715019.

Almost surely, 2480267312 is an apocalyptic number.

480267312 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

480267312 is an abundant number, since it is smaller than the sum of its proper divisors (937665744).

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

480267312 is a wasteful number, since it uses less digits than its factorization.

480267312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1429385 (or 1429379 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 480267312 is about 21915.0019849417. The cubic root of 480267312 is about 783.1188472470.

The spelling of 480267312 in words is "four hundred eighty million, two hundred sixty-seven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 1429367 2858734 4288101 5717468 8576202 10005569 11434936 17152404 20011138 22869872 30016707 34304808 40022276 60033414 68609616 80044552 120066828 160089104 240133656 480267312