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580049424 = 2434447569
BaseRepresentation
bin100010100100101…
…101101000010000
31111102110120020000
4202210231220100
52141443040144
6133320250000
720242224123
oct4244555020
91442416200
10580049424
11278471799
12142310900
1393231b16
14570723ba
1535dcb769
hex2292da10

580049424 has 50 divisors (see below), whose sum is σ = 1678835070. Its totient is φ = 193349376.

The previous prime is 580049417. The next prime is 580049447. The reversal of 580049424 is 424940085.

It can be written as a sum of positive squares in only one way, i.e., 384944400 + 195105024 = 19620^2 + 13968^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 222489 + ... + 225080.

Almost surely, 2580049424 is an apocalyptic number.

580049424 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

580049424 is an abundant number, since it is smaller than the sum of its proper divisors (1098785646).

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

580049424 is a wasteful number, since it uses less digits than its factorization.

580049424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447589 (or 447574 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 580049424 is about 24084.2152456749. The cubic root of 580049424 is about 833.9787790263.

The spelling of 580049424 in words is "five hundred eighty million, forty-nine thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 447569 895138 1342707 1790276 2685414 3580552 4028121 5370828 7161104 8056242 10741656 12084363 16112484 21483312 24168726 32224968 36253089 48337452 64449936 72506178 96674904 145012356 193349808 290024712 580049424