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4780928484 = 2232835033181
BaseRepresentation
bin1000111001111011…
…10010110111100100
3110100012011022221100
410130331302313210
534242404202414
62110223520100
7226322136003
oct43475626744
913305138840
104780928484
112033789372
12b15159030
135b2657987
14334d56c3a
151cead1609
hex11cf72de4

4780928484 has 72 divisors (see below), whose sum is σ = 12258896832. Its totient is φ = 1570818240.

The previous prime is 4780928459. The next prime is 4780928539. The reversal of 4780928484 is 4848290874.

4780928484 is a `hidden beast` number, since 4 + 78 + 0 + 92 + 8 + 484 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 4780928484.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1501374 + ... + 1504554.

It is an arithmetic number, because the mean of its divisors is an integer number (170262456).

Almost surely, 24780928484 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 4780928484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6129448416).

4780928484 is an abundant number, since it is smaller than the sum of its proper divisors (7477968348).

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

4780928484 is a wasteful number, since it uses less digits than its factorization.

4780928484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3777 (or 3772 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The square root of 4780928484 is about 69144.2585035084. The cubic root of 4780928484 is about 1684.6282624668.

The spelling of 4780928484 in words is "four billion, seven hundred eighty million, nine hundred twenty-eight thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 36 83 166 249 332 498 503 747 996 1006 1494 1509 2012 2988 3018 3181 4527 6036 6362 9054 9543 12724 18108 19086 28629 38172 41749 57258 83498 114516 125247 166996 250494 264023 375741 500988 528046 751482 792069 1056092 1502964 1584138 1600043 2376207 3168276 3200086 4752414 4800129 6400172 9504828 9600258 14400387 19200516 28800774 57601548 132803569 265607138 398410707 531214276 796821414 1195232121 1593642828 2390464242 4780928484