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521482896 = 24321121732
BaseRepresentation
bin11111000101010…
…011001010010000
31100100021002001100
4133011103022100
52031444423041
6123425104400
715631350204
oct3705231220
91310232040
10521482896
112483aa900
12126788100
138406747c
144d388b04
1530bad6b6
hex1f153290

521482896 has 135 divisors (see below), whose sum is σ = 1613490697. Its totient is φ = 157111680.

The previous prime is 521482889. The next prime is 521482903. The reversal of 521482896 is 698284125.

The square root of 521482896 is 22836.

It is a perfect power (a square), and thus also a powerful number.

521482896 is a `hidden beast` number, since 521 + 48 + 2 + 89 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (521482889) and next prime (521482903).

It can be written as a sum of positive squares in only one way, i.e., 474368400 + 47114496 = 21780^2 + 6864^2 .

It is a Duffinian number.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 3014266 + ... + 3014438.

Almost surely, 2521482896 is an apocalyptic number.

521482896 is the 22836-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 521482896

521482896 is an abundant number, since it is smaller than the sum of its proper divisors (1092007801).

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

521482896 is a wasteful number, since it uses less digits than its factorization.

521482896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 189 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The cubic root of 521482896 is about 804.9088260101.

The spelling of 521482896 in words is "five hundred twenty-one million, four hundred eighty-two thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 121 132 144 173 176 198 242 264 346 363 396 484 519 528 692 726 792 968 1038 1089 1384 1452 1557 1584 1903 1936 2076 2178 2768 2904 3114 3806 4152 4356 5709 5808 6228 7612 8304 8712 11418 12456 15224 17127 17424 20933 22836 24912 29929 30448 34254 41866 45672 59858 62799 68508 83732 89787 91344 119716 125598 137016 167464 179574 188397 239432 251196 269361 274032 329219 334928 359148 376794 478864 502392 538722 658438 718296 753588 987657 1004784 1077444 1316876 1436592 1507176 1975314 2154888 2633752 2962971 3014352 3621409 3950628 4309776 5267504 5925942 7242818 7901256 10864227 11851884 14485636 15802512 21728454 23703768 28971272 32592681 43456908 47407536 57942544 65185362 86913816 130370724 173827632 260741448 521482896