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4882080 = 253571453
BaseRepresentation
bin10010100111111010100000
3100012000221210
4102213322200
52222211310
6252350120
756332320
oct22477240
910160853
104882080
112834a85
121775340
13101c208
14911280
15666820
hex4a7ea0

4882080 has 96 divisors (see below), whose sum is σ = 17587584. Its totient is φ = 1115136.

The previous prime is 4882061. The next prime is 4882093. The reversal of 4882080 is 802884.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2634 + ... + 4086.

It is an arithmetic number, because the mean of its divisors is an integer number (183204).

Almost surely, 24882080 is an apocalyptic number.

4882080 is a gapful number since it is divisible by the number (40) 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 4882080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8793792).

4882080 is an abundant number, since it is smaller than the sum of its proper divisors (12705504).

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

4882080 is a wasteful number, since it uses less digits than its factorization.

4882080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1478 (or 1470 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 30.

The square root of 4882080 is about 2209.5429391619. The cubic root of 4882080 is about 169.6426171531.

It can be divided in two parts, 48 and 82080, that added together give a palindrome (82128).

The spelling of 4882080 in words is "four million, eight hundred eighty-two thousand, eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 70 80 84 96 105 112 120 140 160 168 210 224 240 280 336 420 480 560 672 840 1120 1453 1680 2906 3360 4359 5812 7265 8718 10171 11624 14530 17436 20342 21795 23248 29060 30513 34872 40684 43590 46496 50855 58120 61026 69744 81368 87180 101710 116240 122052 139488 152565 162736 174360 203420 232480 244104 305130 325472 348720 406840 488208 610260 697440 813680 976416 1220520 1627360 2441040 4882080