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482780856 = 233233189317
BaseRepresentation
bin11100110001101…
…010011010111000
31020122102210211110
4130301222122320
51442042441411
6115523400320
714651366235
oct3461523270
91218383743
10482780856
11228576448
121158230a0
137903665c
144819278c
152c5b62a6
hex1cc6a6b8

482780856 has 128 divisors (see below), whose sum is σ = 1318809600. Its totient is φ = 146826240.

The previous prime is 482780849. The next prime is 482780891. The reversal of 482780856 is 658087284.

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, 1522810 + ... + 1523126.

It is an arithmetic number, because the mean of its divisors is an integer number (10303200).

Almost surely, 2482780856 is an apocalyptic number.

482780856 is a gapful number since it is divisible by the number (46) 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 482780856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659404800).

482780856 is an abundant number, since it is smaller than the sum of its proper divisors (836028744).

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

482780856 is a wasteful number, since it uses less digits than its factorization.

482780856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 48.

The square root of 482780856 is about 21972.2747115541. The cubic root of 482780856 is about 784.4826569501.

It can be divided in two parts, 482780 and 856, that added together give a triangular number (483636 = T983).

The spelling of 482780856 in words is "four hundred eighty-two million, seven hundred eighty thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 23 24 31 46 62 69 89 92 93 124 138 178 184 186 248 267 276 317 356 372 534 552 634 712 713 744 951 1068 1268 1426 1902 2047 2136 2139 2536 2759 2852 3804 4094 4278 5518 5704 6141 7291 7608 8188 8277 8556 9827 11036 12282 14582 16376 16554 17112 19654 21873 22072 24564 28213 29164 29481 33108 39308 43746 49128 56426 58328 58962 63457 66216 78616 84639 87492 112852 117924 126914 169278 174984 190371 225704 226021 235848 253828 338556 380742 452042 507656 648899 677112 678063 761484 874603 904084 1297798 1356126 1522968 1749206 1808168 1946697 2595596 2623809 2712252 3498412 3893394 5191192 5247618 5424504 6996824 7786788 10495236 15573576 20115869 20990472 40231738 60347607 80463476 120695214 160926952 241390428 482780856