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580217972 = 22192401813
BaseRepresentation
bin100010100101010…
…110110001110100
31111102210010102112
4202211112301310
52142013433342
6133324030152
720243525405
oct4245266164
91442703375
10580217972
11278577394
12142392358
1393290759
14570b79ac
1535e11682
hex22956c74

580217972 has 18 divisors (see below), whose sum is σ = 1071637938. Its totient is φ = 274839408.

The previous prime is 580217971. The next prime is 580217999. The reversal of 580217972 is 279712085.

It can be written as a sum of positive squares in only one way, i.e., 323064676 + 257153296 = 17974^2 + 16036^2 .

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (580217971) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 199463 + ... + 202350.

It is an arithmetic number, because the mean of its divisors is an integer number (59535441).

Almost surely, 2580217972 is an apocalyptic number.

It is an amenable number.

580217972 is a deficient number, since it is larger than the sum of its proper divisors (491419966).

580217972 is a wasteful number, since it uses less digits than its factorization.

580217972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401855 (or 401834 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 41.

The square root of 580217972 is about 24087.7141298215. The cubic root of 580217972 is about 834.0595490646.

The spelling of 580217972 in words is "five hundred eighty million, two hundred seventeen thousand, nine hundred seventy-two".

Divisors: 1 2 4 19 38 76 361 722 1444 401813 803626 1607252 7634447 15268894 30537788 145054493 290108986 580217972