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2482345440 = 253451719593
BaseRepresentation
bin1001001111110101…
…1001010111100000
320101222222012210000
42103331121113200
520040440023230
61050153140000
7115341405501
oct22375312740
96358865700
102482345440
111064245963
125933ba600
1330738a773
14197976ba8
15e7ddeb60
hex93f595e0

2482345440 has 480 divisors, whose sum is σ = 9780613920. Its totient is φ = 589234176.

The previous prime is 2482345433. The next prime is 2482345477. The reversal of 2482345440 is 445432842.

2482345440 is a `hidden beast` number, since 2 + 4 + 82 + 34 + 544 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a junction number, because it is equal to n+sod(n) for n = 2482345395 and 2482345404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4185784 + ... + 4186376.

It is an arithmetic number, because the mean of its divisors is an integer number (20376279).

Almost surely, 22482345440 is an apocalyptic number.

2482345440 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 2482345440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4890306960).

2482345440 is an abundant number, since it is smaller than the sum of its proper divisors (7298268480).

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

2482345440 is a wasteful number, since it uses less digits than its factorization.

2482345440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656 (or 639 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 36.

The square root of 2482345440 is about 49823.1416111028. The cubic root of 2482345440 is about 1354.0064683939.

The spelling of 2482345440 in words is "two billion, four hundred eighty-two million, three hundred forty-five thousand, four hundred forty".