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580042752 = 214311801
BaseRepresentation
bin100010100100101…
…100000000000000
31111102110020001220
4202210230000000
52141442332002
6133320155040
720242165512
oct4244540000
91442406056
10580042752
11278467783
12142308a80
139322ba83
145706dbb2
1535dc97bc
hex2292c000

580042752 has 60 divisors (see below), whose sum is σ = 1546864536. Its totient is φ = 193331200.

The previous prime is 580042741. The next prime is 580042753. The reversal of 580042752 is 257240085.

It is not an unprimeable number, because it can be changed into a prime (580042753) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 43252 + ... + 55052.

Almost surely, 2580042752 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 580042752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (773432268).

580042752 is an abundant number, since it is smaller than the sum of its proper divisors (966821784).

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

580042752 is an equidigital number, since it uses as much as digits as its factorization.

580042752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11832 (or 11806 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 33.

The square root of 580042752 is about 24084.0767313177. The cubic root of 580042752 is about 833.9755814093.

The spelling of 580042752 in words is "five hundred eighty million, forty-two thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 2048 3072 4096 6144 8192 11801 12288 16384 23602 24576 35403 47204 49152 70806 94408 141612 188816 283224 377632 566448 755264 1132896 1510528 2265792 3021056 4531584 6042112 9063168 12084224 18126336 24168448 36252672 48336896 72505344 96673792 145010688 193347584 290021376 580042752