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4884264 = 2332711881
BaseRepresentation
bin10010101000011100101000
3100012010221200
4102220130220
52222244024
6252404200
756341560
oct22503450
910163850
104884264
112836690
121776660
1310201c8
14911da0
156672c9
hex4a8728

4884264 has 96 divisors (see below), whose sum is σ = 16511040. Its totient is φ = 1267200.

The previous prime is 4884263. The next prime is 4884277. The reversal of 4884264 is 4624884.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (4884263) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5104 + ... + 5984.

It is an arithmetic number, because the mean of its divisors is an integer number (171990).

Almost surely, 24884264 is an apocalyptic number.

4884264 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 4884264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8255520).

4884264 is an abundant number, since it is smaller than the sum of its proper divisors (11626776).

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

4884264 is a wasteful number, since it uses less digits than its factorization.

4884264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 911 (or 904 counting only the distinct ones).

The product of its digits is 49152, while the sum is 36.

The square root of 4884264 is about 2210.0371037609. The cubic root of 4884264 is about 169.6679099410.

The spelling of 4884264 in words is "four million, eight hundred eighty-four thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 18 21 22 24 28 33 36 42 44 56 63 66 72 77 84 88 99 126 132 154 168 198 231 252 264 308 396 462 504 616 693 792 881 924 1386 1762 1848 2643 2772 3524 5286 5544 6167 7048 7929 9691 10572 12334 15858 18501 19382 21144 24668 29073 31716 37002 38764 49336 55503 58146 63432 67837 74004 77528 87219 111006 116292 135674 148008 174438 203511 222012 232584 271348 348876 407022 444024 542696 610533 697752 814044 1221066 1628088 2442132 4884264