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8057484 = 22324153103
BaseRepresentation
bin11110101111001010001100
3120011100210100
4132233022030
54030314414
6444411100
7125326131
oct36571214
916140710
108057484
114603786
122846a90
131891656
1410da588
15a92609
hex7af28c

8057484 has 72 divisors (see below), whose sum is σ = 21464352. Its totient is φ = 2545920.

The previous prime is 8057471. The next prime is 8057503. The reversal of 8057484 is 4847508.

8057484 is a `hidden beast` number, since 8 + 0 + 574 + 84 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an Ulam number.

It is a nialpdrome in base 6.

It is a zygodrome in base 6.

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 23 ways as a sum of consecutive naturals, for example, 78177 + ... + 78279.

It is an arithmetic number, because the mean of its divisors is an integer number (298116).

Almost surely, 28057484 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 8057484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10732176).

8057484 is an abundant number, since it is smaller than the sum of its proper divisors (13406868).

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

8057484 is a wasteful number, since it uses less digits than its factorization.

8057484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 8057484 is about 2838.5707671291. The cubic root of 8057484 is about 200.4778905271.

The spelling of 8057484 in words is "eight million, fifty-seven thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 36 41 53 82 103 106 123 159 164 206 212 246 309 318 369 412 477 492 618 636 738 927 954 1236 1476 1854 1908 2173 3708 4223 4346 5459 6519 8446 8692 10918 12669 13038 16377 16892 19557 21836 25338 26076 32754 38007 39114 49131 50676 65508 76014 78228 98262 152028 196524 223819 447638 671457 895276 1342914 2014371 2685828 4028742 8057484