Search a number
-
+
580749408 = 25325338047
BaseRepresentation
bin100010100111011…
…000100001100000
31111110210010102100
4202213120201200
52142132440113
6133343250400
720251200651
oct4247304140
91443703370
10580749408
112788aa698
121425a9a00
1393418605
14571b5528
1535eb8d73
hex229d8860

580749408 has 72 divisors (see below), whose sum is σ = 1682710848. Its totient is φ = 189925632.

The previous prime is 580749391. The next prime is 580749413. The reversal of 580749408 is 804947085.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 3760 + ... + 34287.

It is an arithmetic number, because the mean of its divisors is an integer number (23370984).

Almost surely, 2580749408 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 580749408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (841355424).

580749408 is an abundant number, since it is smaller than the sum of its proper divisors (1101961440).

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

580749408 is a wasteful number, since it uses less digits than its factorization.

580749408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38116 (or 38105 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 580749408 is about 24098.7428717765. The cubic root of 580749408 is about 834.3141166197.

The spelling of 580749408 in words is "five hundred eighty million, seven hundred forty-nine thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 53 72 96 106 144 159 212 288 318 424 477 636 848 954 1272 1696 1908 2544 3816 5088 7632 15264 38047 76094 114141 152188 228282 304376 342423 456564 608752 684846 913128 1217504 1369692 1826256 2016491 2739384 3652512 4032982 5478768 6049473 8065964 10957536 12098946 16131928 18148419 24197892 32263856 36296838 48395784 64527712 72593676 96791568 145187352 193583136 290374704 580749408