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2482710080 = 26515749417
BaseRepresentation
bin1001001111111011…
…0010011001000000
320102000122201222012
42103332302121000
520041033210310
61050205032052
7115344454544
oct22376623100
96360581865
102482710080
111064474914
12593555628
13307487726
14197a2da24
15e7e62c05
hex93fb2640

2482710080 has 56 divisors (see below), whose sum is σ = 5949729528. Its totient is φ = 986738688.

The previous prime is 2482710079. The next prime is 2482710121. The reversal of 2482710080 is 800172842.

It can be written as a sum of positive squares in 4 ways, for example, as 569872384 + 1912837696 = 23872^2 + 43736^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25532 + ... + 74948.

Almost surely, 22482710080 is an apocalyptic number.

2482710080 is a gapful number since it is divisible by the number (20) 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 2482710080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2974864764).

2482710080 is an abundant number, since it is smaller than the sum of its proper divisors (3467019448).

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

2482710080 is a wasteful number, since it uses less digits than its factorization.

2482710080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49591 (or 49581 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 32.

The square root of 2482710080 is about 49826.8008204420. The cubic root of 2482710080 is about 1354.0727633231.

The spelling of 2482710080 in words is "two billion, four hundred eighty-two million, seven hundred ten thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 157 160 314 320 628 785 1256 1570 2512 3140 5024 6280 10048 12560 25120 49417 50240 98834 197668 247085 395336 494170 790672 988340 1581344 1976680 3162688 3953360 7758469 7906720 15516938 15813440 31033876 38792345 62067752 77584690 124135504 155169380 248271008 310338760 496542016 620677520 1241355040 2482710080