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2485328832 = 2634768489
BaseRepresentation
bin1001010000100011…
…0001101111000000
320102012120210020000
42110020301233000
520042221010312
61050341120000
7115405642440
oct22410615700
96365523200
102485328832
1110659a3378
125943b9000
13307b9369c
14198112120
15e82cdadc
hex94231bc0

2485328832 has 140 divisors (see below), whose sum is σ = 8419886640. Its totient is φ = 710083584.

The previous prime is 2485328777. The next prime is 2485328851. The reversal of 2485328832 is 2388235842.

It is a happy number.

2485328832 is a `hidden beast` number, since 2 + 4 + 8 + 532 + 88 + 32 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2044 + ... + 70532.

Almost surely, 22485328832 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 2485328832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4209943320).

2485328832 is an abundant number, since it is smaller than the sum of its proper divisors (5934557808).

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

2485328832 is an equidigital number, since it uses as much as digits as its factorization.

2485328832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68520 (or 68501 counting only the distinct ones).

The product of its digits is 737280, while the sum is 45.

The square root of 2485328832 is about 49853.0724429297. The cubic root of 2485328832 is about 1354.5486860864.

The spelling of 2485328832 in words is "two billion, four hundred eighty-five million, three hundred twenty-eight thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 81 84 96 108 112 126 144 162 168 189 192 216 224 252 288 324 336 378 432 448 504 567 576 648 672 756 864 1008 1134 1296 1344 1512 1728 2016 2268 2592 3024 4032 4536 5184 6048 9072 12096 18144 36288 68489 136978 205467 273956 410934 479423 547912 616401 821868 958846 1095824 1232802 1438269 1643736 1849203 1917692 2191648 2465604 2876538 3287472 3698406 3835384 4314807 4383296 4931208 5547609 5753076 6574944 7396812 7670768 8629614 9862416 11095218 11506152 12944421 13149888 14793624 15341536 17259228 19724832 22190436 23012304 25888842 29587248 30683072 34518456 38833263 39449664 44380872 46024608 51777684 59174496 69036912 77666526 88761744 92049216 103555368 118348992 138073824 155333052 177523488 207110736 276147648 310666104 355046976 414221472 621332208 828442944 1242664416 2485328832