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576612064 = 2572779293
BaseRepresentation
bin100010010111100…
…110011011100000
31111011222221001101
4202113212123200
52140103041224
6133114444144
720201056510
oct4227463340
91434887041
10576612064
112765341a6
12141133654
13925ca392
1456819840
153594d044
hex225e66e0

576612064 has 48 divisors (see below), whose sum is σ = 1302200928. Its totient is φ = 246200832.

The previous prime is 576612041. The next prime is 576612067. The reversal of 576612064 is 460216675.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (576612067) 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, 57402 + ... + 66694.

It is an arithmetic number, because the mean of its divisors is an integer number (27129186).

Almost surely, 2576612064 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 576612064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (651100464).

576612064 is an abundant number, since it is smaller than the sum of its proper divisors (725588864).

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

576612064 is a wasteful number, since it uses less digits than its factorization.

576612064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9587 (or 9579 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 37.

The square root of 576612064 is about 24012.7479477048. The cubic root of 576612064 is about 832.3281342529.

The spelling of 576612064 in words is "five hundred seventy-six million, six hundred twelve thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 277 554 1108 1939 2216 3878 4432 7756 8864 9293 15512 18586 31024 37172 62048 65051 74344 130102 148688 260204 297376 520408 1040816 2081632 2574161 5148322 10296644 18019127 20593288 36038254 41186576 72076508 82373152 144153016 288306032 576612064