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520303056 = 243713235179
BaseRepresentation
bin11111000000110…
…011000111010000
31100021001010121120
4133000303013100
52031144144211
6123343522240
715615334350
oct3700630720
91307033546
10520303056
11247774429
121262b9380
1383a43440
144d15cb60
1530a28d06
hex1f0331d0

520303056 has 160 divisors (see below), whose sum is σ = 1726556160. Its totient is φ = 131231232.

The previous prime is 520303051. The next prime is 520303061. The reversal of 520303056 is 650303025.

520303056 = T3336 + T3337 + ... + T3426.

It is an interprime number because it is at equal distance from previous prime (520303051) and next prime (520303061).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (520303051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 97875 + ... + 103053.

It is an arithmetic number, because the mean of its divisors is an integer number (10790976).

Almost surely, 2520303056 is an apocalyptic number.

520303056 is a gapful number since it is divisible by the number (56) 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 520303056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (863278080).

520303056 is an abundant number, since it is smaller than the sum of its proper divisors (1206253104).

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

520303056 is a wasteful number, since it uses less digits than its factorization.

520303056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5233 (or 5227 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 24.

The square root of 520303056 is about 22810.1524764742. The cubic root of 520303056 is about 804.3013399777.

The spelling of 520303056 in words is "five hundred twenty million, three hundred three thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 23 24 26 28 39 42 46 48 52 56 69 78 84 91 92 104 112 138 156 161 168 182 184 208 273 276 299 312 322 336 364 368 483 546 552 598 624 644 728 897 966 1092 1104 1196 1288 1456 1794 1932 2093 2184 2392 2576 3588 3864 4186 4368 4784 5179 6279 7176 7728 8372 10358 12558 14352 15537 16744 20716 25116 31074 33488 36253 41432 50232 62148 67327 72506 82864 100464 108759 119117 124296 134654 145012 201981 217518 238234 248592 269308 290024 357351 403962 435036 471289 476468 538616 580048 714702 807924 833819 870072 942578 952936 1077232 1413867 1429404 1548521 1615848 1667638 1740144 1885156 1905872 2501457 2827734 2858808 3097042 3231696 3335276 3770312 4645563 5002914 5655468 5717616 6194084 6670552 7540624 9291126 10005828 10839647 11310936 12388168 13341104 18582252 20011656 21679294 22621872 24776336 32518941 37164504 40023312 43358588 65037882 74329008 86717176 130075764 173434352 260151528 520303056