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581140992 = 2931919913
BaseRepresentation
bin100010101000111…
…000001000000000
31111111112000120110
4202220320020000
52142233002432
6133355511320
720254421415
oct4250701000
91444460513
10581140992
11279047913
12142758540
1393524913
145727810c
1536044dcc
hex22a38200

581140992 has 80 divisors (see below), whose sum is σ = 1629761760. Its totient is φ = 183508992.

The previous prime is 581140939. The next prime is 581140997. The reversal of 581140992 is 299041185.

It is a self number, because there is not a number n which added to its sum of digits gives 581140992.

It is not an unprimeable number, because it can be changed into a prime (581140997) 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, 19228 + ... + 39140.

It is an arithmetic number, because the mean of its divisors is an integer number (20372022).

Almost surely, 2581140992 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 581140992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (814880880).

581140992 is an abundant number, since it is smaller than the sum of its proper divisors (1048620768).

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

581140992 is a wasteful number, since it uses less digits than its factorization.

581140992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19953 (or 19937 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 39.

The square root of 581140992 is about 24106.8660758714. The cubic root of 581140992 is about 834.5015931530.

The spelling of 581140992 in words is "five hundred eighty-one million, one hundred forty thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 256 304 384 456 512 608 768 912 1216 1536 1824 2432 3648 4864 7296 9728 14592 19913 29184 39826 59739 79652 119478 159304 238956 318608 378347 477912 637216 756694 955824 1135041 1274432 1513388 1911648 2270082 2548864 3026776 3823296 4540164 5097728 6053552 7646592 9080328 10195456 12107104 15293184 18160656 24214208 30586368 36321312 48428416 72642624 96856832 145285248 193713664 290570496 581140992