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4786420416 = 263198571531
BaseRepresentation
bin1000111010100101…
…01111101011000000
3110100120111100110020
410131102233223000
534300310423131
62110541333440
7226416621321
oct43522575300
913316440406
104786420416
11203689a558
12b16b67280
135b382b63b
14335986448
151d0318996
hex11d4afac0

4786420416 has 112 divisors (see below), whose sum is σ = 13354872960. Its totient is φ = 1508751360.

The previous prime is 4786420411. The next prime is 4786420417. The reversal of 4786420416 is 6140246874.

It is a super-2 number, since 2×47864204162 = 45819640797403226112, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4786420411) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3125571 + ... + 3127101.

Almost surely, 24786420416 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 4786420416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6677436480).

4786420416 is an abundant number, since it is smaller than the sum of its proper divisors (8568452544).

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

4786420416 is a wasteful number, since it uses less digits than its factorization.

4786420416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2422 (or 2412 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 42.

The square root of 4786420416 is about 69183.9606845402. The cubic root of 4786420416 is about 1685.2730691233.

The spelling of 4786420416 in words is "four billion, seven hundred eighty-six million, four hundred twenty thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 152 192 228 304 456 608 857 912 1216 1531 1714 1824 2571 3062 3428 3648 4593 5142 6124 6856 9186 10284 12248 13712 16283 18372 20568 24496 27424 29089 32566 36744 41136 48849 48992 54848 58178 65132 73488 82272 87267 97698 97984 116356 130264 146976 164544 174534 195396 232712 260528 293952 349068 390792 465424 521056 698136 781584 930848 1042112 1312067 1396272 1563168 1861696 2624134 2792544 3126336 3936201 5248268 5585088 7872402 10496536 15744804 20993072 24929273 31489608 41986144 49858546 62979216 74787819 83972288 99717092 125958432 149575638 199434184 251916864 299151276 398868368 598302552 797736736 1196605104 1595473472 2393210208 4786420416