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580474944 = 26337371297
BaseRepresentation
bin100010100110010…
…101100001000000
31111110021011221000
4202212111201000
52142100144234
6133333332000
720245645530
oct4246254100
91443234830
10580474944
11278732465
12142497000
13933506ca
14571434c0
1535e62899
hex22995840

580474944 has 224 divisors, whose sum is σ = 2004527360. Its totient is φ = 161243136.

The previous prime is 580474901. The next prime is 580474987. The reversal of 580474944 is 449474085.

It is an interprime number because it is at equal distance from previous prime (580474901) and next prime (580474987).

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×5804749442 = 673902321223606272, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 580474944.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 446904 + ... + 448200.

Almost surely, 2580474944 is an apocalyptic number.

580474944 is a gapful number since it is divisible by the number (54) 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 580474944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1002263680).

580474944 is an abundant number, since it is smaller than the sum of its proper divisors (1424052416).

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

580474944 is a wasteful number, since it uses less digits than its factorization.

580474944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1362 (or 1346 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 580474944 is about 24093.0476278946. The cubic root of 580474944 is about 834.1826627489.

The spelling of 580474944 in words is "five hundred eighty million, four hundred seventy-four thousand, nine hundred forty-four".