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536057928 = 233278291283
BaseRepresentation
bin11111111100111…
…001100001001000
31101100200120020100
4133330321201020
52044212323203
6125105325400
716166263050
oct3774714110
91340616210
10536057928
1125565528a
1212b636860
138709b553
14512a0560
15320dbea3
hex1ff39848

536057928 has 96 divisors (see below), whose sum is σ = 1662523200. Its totient is φ = 152855424.

The previous prime is 536057927. The next prime is 536057933. The reversal of 536057928 is 829750635.

It is a happy number.

536057928 is a `hidden beast` number, since 53 + 6 + 0 + 579 + 28 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (536057927) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 417175 + ... + 418457.

It is an arithmetic number, because the mean of its divisors is an integer number (17317950).

Almost surely, 2536057928 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 536057928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (831261600).

536057928 is an abundant number, since it is smaller than the sum of its proper divisors (1126465272).

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

536057928 is a wasteful number, since it uses less digits than its factorization.

536057928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2131 (or 2124 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The square root of 536057928 is about 23152.9248260344. The cubic root of 536057928 is about 812.3388823880.

The spelling of 536057928 in words is "five hundred thirty-six million, fifty-seven thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 829 1283 1658 2487 2566 3316 3849 4974 5132 5803 6632 7461 7698 8981 9948 10264 11547 11606 14922 15396 17409 17962 19896 23094 23212 26943 29844 30792 34818 35924 46188 46424 52227 53886 59688 69636 71848 80829 92376 104454 107772 139272 161658 208908 215544 323316 417816 646632 1063607 2127214 3190821 4254428 6381642 7445249 8508856 9572463 12763284 14890498 19144926 22335747 25526568 29780996 38289852 44671494 59561992 67007241 76579704 89342988 134014482 178685976 268028964 536057928