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480271056 = 24319618997
BaseRepresentation
bin11100101000000…
…101101011010000
31020110201022000220
4130220011223100
51440422133211
6115353513040
714621144106
oct3450055320
91213638026
10480271056
11227111831
12114a12780
1378668175
1447adbc76
152c26c806
hex1ca05ad0

480271056 has 160 divisors (see below), whose sum is σ = 1356163200. Its totient is φ = 145981440.

The previous prime is 480271049. The next prime is 480271081. The reversal of 480271056 is 650172084.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4951200 + ... + 4951296.

It is an arithmetic number, because the mean of its divisors is an integer number (8476020).

Almost surely, 2480271056 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 480271056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (678081600).

480271056 is an abundant number, since it is smaller than the sum of its proper divisors (875892144).

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

480271056 is a wasteful number, since it uses less digits than its factorization.

480271056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 480271056 is about 21915.0874057121. The cubic root of 480271056 is about 783.1208822175.

The spelling of 480271056 in words is "four hundred eighty million, two hundred seventy-one thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 61 76 89 97 114 122 152 178 183 194 228 244 267 291 304 356 366 388 456 488 534 582 712 732 776 912 976 1068 1159 1164 1424 1464 1552 1691 1843 2136 2318 2328 2928 3382 3477 3686 4272 4636 4656 5073 5429 5529 5917 6764 6954 7372 8633 9272 10146 10858 11058 11834 13528 13908 14744 16287 17266 17751 18544 20292 21716 22116 23668 25899 27056 27816 29488 32574 34532 35502 40584 43432 44232 47336 51798 55632 65148 69064 71004 81168 86864 88464 94672 103151 103596 112423 130296 138128 142008 164027 206302 207192 224846 260592 284016 309453 328054 337269 412604 414384 449692 492081 526613 618906 656108 674538 825208 899384 984162 1053226 1237812 1312216 1349076 1579839 1650416 1798768 1968324 2106452 2475624 2624432 2698152 3159678 3936648 4212904 4951248 5396304 6319356 7873296 8425808 10005647 12638712 20011294 25277424 30016941 40022588 60033882 80045176 120067764 160090352 240135528 480271056