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4804224084 = 223211232392207
BaseRepresentation
bin1000111100101101…
…01010010001010100
3110101210222212111100
410132112222101110
534314340132314
62112415110100
7230024142132
oct43626522124
913353885440
104804224084
11204594a730
12b20b12330
135b742315a
1433809c752
151d1b83c09
hex11e5aa454

4804224084 has 144 divisors (see below), whose sum is σ = 13888143360. Its totient is φ = 1386073920.

The previous prime is 4804224059. The next prime is 4804224091.

4804224084 is nontrivially palindromic in base 10.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2175709 + ... + 2177915.

It is an arithmetic number, because the mean of its divisors is an integer number (96445440).

Almost surely, 24804224084 is an apocalyptic number.

4804224084 is a gapful number since it is divisible by the number (44) 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 4804224084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6944071680).

4804224084 is an abundant number, since it is smaller than the sum of its proper divisors (9083919276).

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

4804224084 is a wasteful number, since it uses less digits than its factorization.

4804224084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2490 (or 2485 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 36.

The square root of 4804224084 is about 69312.5102993680. The cubic root of 4804224084 is about 1687.3600091936.

The spelling of 4804224084 in words is "four billion, eight hundred four million, two hundred twenty-four thousand, eighty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 23 33 36 44 46 66 69 92 99 132 138 198 207 239 253 276 396 414 478 506 717 759 828 956 1012 1434 1518 2151 2207 2277 2629 2868 3036 4302 4414 4554 5258 5497 6621 7887 8604 8828 9108 10516 10994 13242 15774 16491 19863 21988 23661 24277 26484 31548 32982 39726 47322 48554 49473 50761 60467 65964 72831 79452 94644 97108 98946 101522 120934 145662 152283 181401 197892 203044 218493 241868 291324 304566 362802 436986 456849 527473 544203 558371 609132 725604 873972 913698 1054946 1088406 1116742 1582419 1675113 1827396 2109892 2176812 2233484 3164838 3350226 4747257 5025339 5802203 6329676 6700452 9494514 10050678 11604406 12131879 17406609 18989028 20101356 23208812 24263758 34813218 36395637 48527516 52219827 69626436 72791274 104439654 109186911 133450669 145582548 208879308 218373822 266901338 400352007 436747644 533802676 800704014 1201056021 1601408028 2402112042 4804224084