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2828601512 = 2311219115299
BaseRepresentation
bin1010100010011001…
…0000100010101000
321022010111211210222
42220212100202220
521243110222022
61144402425212
7130044500432
oct25046204250
97263454728
102828601512
111221743200
1266b362208
13361032809
141cb94b652
151184d9242
hexa89908a8

2828601512 has 48 divisors (see below), whose sum is σ = 5860512000. Its totient is φ = 1278912800.

The previous prime is 2828601499. The next prime is 2828601527. The reversal of 2828601512 is 2151068282.

It is a happy number.

It is a super-2 number, since 2×28286015122 = 16001973027377372288, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 177239 + ... + 192537.

It is an arithmetic number, because the mean of its divisors is an integer number (122094000).

Almost surely, 22828601512 is an apocalyptic number.

2828601512 is a gapful number since it is divisible by the number (22) 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 2828601512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2930256000).

2828601512 is an abundant number, since it is smaller than the sum of its proper divisors (3031910488).

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

2828601512 is a wasteful number, since it uses less digits than its factorization.

2828601512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15518 (or 15503 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 35.

The square root of 2828601512 is about 53184.5984472949. The cubic root of 2828601512 is about 1414.2426263181.

Adding to 2828601512 its reverse (2151068282), we get a palindrome (4979669794).

The spelling of 2828601512 in words is "two billion, eight hundred twenty-eight million, six hundred one thousand, five hundred twelve".

Divisors: 1 2 4 8 11 22 44 88 121 191 242 382 484 764 968 1528 2101 4202 8404 15299 16808 23111 30598 46222 61196 92444 122392 168289 184888 336578 673156 1346312 1851179 2922109 3702358 5844218 7404716 11688436 14809432 23376872 32143199 64286398 128572796 257145592 353575189 707150378 1414300756 2828601512