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580745152 = 26131016911
BaseRepresentation
bin100010100111010…
…111011111000000
31111110202220120201
4202213113133000
52142132321102
6133343214544
720251152361
oct4247273700
91443686521
10580745152
112788a7479
121425a7454
13934166b0
14571b3b68
1535eb7987
hex229d77c0

580745152 has 56 divisors (see below), whose sum is σ = 1253532672. Its totient is φ = 265344000.

The previous prime is 580745119. The next prime is 580745153. The reversal of 580745152 is 251547085.

580745152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (580745153) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 80577 + ... + 87487.

It is an arithmetic number, because the mean of its divisors is an integer number (22384512).

Almost surely, 2580745152 is an apocalyptic number.

580745152 is a gapful number since it is divisible by the number (52) 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 580745152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (626766336).

580745152 is an abundant number, since it is smaller than the sum of its proper divisors (672787520).

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

580745152 is a wasteful number, since it uses less digits than its factorization.

580745152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7037 (or 7027 counting only the distinct ones).

The product of its (nonzero) digits is 56000, while the sum is 37.

The square root of 580745152 is about 24098.6545682534. The cubic root of 580745152 is about 834.3120785349.

The spelling of 580745152 in words is "five hundred eighty million, seven hundred forty-five thousand, one hundred fifty-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 101 104 202 208 404 416 808 832 1313 1616 2626 3232 5252 6464 6911 10504 13822 21008 27644 42016 55288 84032 89843 110576 179686 221152 359372 442304 698011 718744 1396022 1437488 2792044 2874976 5584088 5749952 9074143 11168176 18148286 22336352 36296572 44672704 72593144 145186288 290372576 580745152