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482027328 = 2633299619
BaseRepresentation
bin11100101110110…
…010011101000000
31020121000112012000
4130232302131000
51441344333303
6115455304000
714642110326
oct3456623500
91217015160
10482027328
112281012a2
1211551b000
1378b31693
1448037d16
152c4b7da3
hex1cbb2740

482027328 has 112 divisors (see below), whose sum is σ = 1466088000. Its totient is φ = 155119104.

The previous prime is 482027327. The next prime is 482027341. The reversal of 482027328 is 823720284.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 482027292 and 482027301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (482027323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45303 + ... + 54921.

Almost surely, 2482027328 is an apocalyptic number.

482027328 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 482027328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (733044000).

482027328 is an abundant number, since it is smaller than the sum of its proper divisors (984060672).

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

482027328 is a wasteful number, since it uses less digits than its factorization.

482027328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9669 (or 9653 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 482027328 is about 21955.1207694242. The cubic root of 482027328 is about 784.0743022735.

The spelling of 482027328 in words is "four hundred eighty-two million, twenty-seven thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 48 54 58 64 72 87 96 108 116 144 174 192 216 232 261 288 348 432 464 522 576 696 783 864 928 1044 1392 1566 1728 1856 2088 2784 3132 4176 5568 6264 8352 9619 12528 16704 19238 25056 28857 38476 50112 57714 76952 86571 115428 153904 173142 230856 259713 278951 307808 346284 461712 519426 557902 615616 692568 836853 923424 1038852 1115804 1385136 1673706 1846848 2077704 2231608 2510559 2770272 3347412 4155408 4463216 5021118 5540544 6694824 7531677 8310816 8926432 10042236 13389648 15063354 16621632 17852864 20084472 26779296 30126708 40168944 53558592 60253416 80337888 120506832 160675776 241013664 482027328