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4828087296 = 2103519403
BaseRepresentation
bin1000111111100011…
…01100010000000000
3110110110220020200000
410133301230100000
534341442243141
62115030400000
7230434031154
oct43761542000
913413806600
104828087296
11205836949a
12b28b00000
135bc359ab6
1433b311064
151d3ce95b6
hex11fc6c400

4828087296 has 132 divisors (see below), whose sum is σ = 14458075632. Its totient is φ = 1609279488.

The previous prime is 4828087279. The next prime is 4828087309. The reversal of 4828087296 is 6927808284.

4828087296 is a `hidden beast` number, since 482 + 8 + 0 + 8 + 72 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 11 ways as a sum of consecutive naturals, for example, 239131 + ... + 258533.

It is an arithmetic number, because the mean of its divisors is an integer number (109530876).

Almost surely, 24828087296 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 4828087296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7229037816).

4828087296 is an abundant number, since it is smaller than the sum of its proper divisors (9629988336).

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

4828087296 is an equidigital number, since it uses as much as digits as its factorization.

4828087296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19438 (or 19408 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The square root of 4828087296 is about 69484.4392364218. The cubic root of 4828087296 is about 1690.1491758192.

The spelling of 4828087296 in words is "four billion, eight hundred twenty-eight million, eighty-seven thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 512 576 648 768 864 972 1024 1152 1296 1536 1728 1944 2304 2592 3072 3456 3888 4608 5184 6912 7776 9216 10368 13824 15552 19403 20736 27648 31104 38806 41472 58209 62208 77612 82944 116418 124416 155224 174627 232836 248832 310448 349254 465672 523881 620896 698508 931344 1047762 1241792 1397016 1571643 1862688 2095524 2483584 2794032 3143286 3725376 4191048 4714929 4967168 5588064 6286572 7450752 8382096 9429858 9934336 11176128 12573144 14901504 16764192 18859716 19868672 22352256 25146288 29803008 33528384 37719432 44704512 50292576 59606016 67056768 75438864 89409024 100585152 134113536 150877728 178818048 201170304 268227072 301755456 402340608 536454144 603510912 804681216 1207021824 1609362432 2414043648 4828087296