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2482560 = 27325431
BaseRepresentation
bin1001011110000110000000
311200010102200
421132012000
51113420220
6125113200
730046533
oct11360600
94603380
102482560
111446203
129b8800
1368bc92
14488a1a
15340890
hex25e180

2482560 has 96 divisors (see below), whose sum is σ = 8592480. Its totient is φ = 660480.

The previous prime is 2482553. The next prime is 2482567. The reversal of 2482560 is 652842.

2482560 is a `hidden beast` number, since 24 + 82 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (2482553) and next prime (2482567).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2482567) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5545 + ... + 5975.

It is an arithmetic number, because the mean of its divisors is an integer number (89505).

22482560 is an apocalyptic number.

2482560 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 2482560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4296240).

2482560 is an abundant number, since it is smaller than the sum of its proper divisors (6109920).

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

2482560 is a wasteful number, since it uses less digits than its factorization.

2482560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 2482560 is about 1575.6141659683. The cubic root of 2482560 is about 135.4045478175.

The spelling of 2482560 in words is "two million, four hundred eighty-two thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 288 320 360 384 431 480 576 640 720 862 960 1152 1293 1440 1724 1920 2155 2586 2880 3448 3879 4310 5172 5760 6465 6896 7758 8620 10344 12930 13792 15516 17240 19395 20688 25860 27584 31032 34480 38790 41376 51720 55168 62064 68960 77580 82752 103440 124128 137920 155160 165504 206880 248256 275840 310320 413760 496512 620640 827520 1241280 2482560