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480795534 = 23361227643
BaseRepresentation
bin11100101010000…
…101101110001110
31020111200221111000
4130222011232032
51441040424114
6115413041130
714625460152
oct3452055616
91214627430
10480795534
1122743a88a
121150261a6
13787bcacb
1447bd7062
152c322e09
hex1ca85b8e

480795534 has 64 divisors (see below), whose sum is σ = 1092430080. Its totient is φ = 156699360.

The previous prime is 480795529. The next prime is 480795559. The reversal of 480795534 is 435597084.

480795534 is a `hidden beast` number, since 48 + 0 + 79 + 5 + 534 = 666.

It is a super-3 number, since 3×4807955343 (a number of 27 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 480795534.

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, 747417 + ... + 748059.

It is an arithmetic number, because the mean of its divisors is an integer number (17069220).

Almost surely, 2480795534 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 480795534, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546215040).

480795534 is an abundant number, since it is smaller than the sum of its proper divisors (611634546).

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

480795534 is a wasteful number, since it uses less digits than its factorization.

480795534 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 942 (or 936 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 480795534 is about 21927.0502804185. The cubic root of 480795534 is about 783.4058464737.

The spelling of 480795534 in words is "four hundred eighty million, seven hundred ninety-five thousand, five hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 54 61 122 183 227 366 454 549 643 681 1098 1286 1362 1647 1929 2043 3294 3858 4086 5787 6129 11574 12258 13847 17361 27694 34722 39223 41541 78446 83082 117669 124623 145961 235338 249246 291922 353007 373869 437883 706014 747738 875766 1059021 1313649 2118042 2627298 3940947 7881894 8903621 17807242 26710863 53421726 80132589 160265178 240397767 480795534