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538577064 = 233243732383
BaseRepresentation
bin100000000110100…
…000100010101000
31101112102112211200
4200012200202220
52100333431224
6125235324200
716226554344
oct4006404250
91345375750
10538577064
11257015a13
12130450660
138777106c
1451758624
15324385c9
hex201a08a8

538577064 has 96 divisors (see below), whose sum is σ = 1513649280. Its totient is φ = 172876032.

The previous prime is 538577047. The next prime is 538577087. The reversal of 538577064 is 460775835.

538577064 is a `hidden beast` number, since 538 + 57 + 7 + 0 + 64 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 224817 + ... + 227199.

It is an arithmetic number, because the mean of its divisors is an integer number (15767180).

Almost surely, 2538577064 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 538577064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (756824640).

538577064 is an abundant number, since it is smaller than the sum of its proper divisors (975072216).

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

538577064 is a wasteful number, since it uses less digits than its factorization.

538577064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2511 (or 2504 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The square root of 538577064 is about 23207.2631734119. The cubic root of 538577064 is about 813.6093886602.

The spelling of 538577064 in words is "five hundred thirty-eight million, five hundred seventy-seven thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 43 72 73 86 129 146 172 219 258 292 344 387 438 516 584 657 774 876 1032 1314 1548 1752 2383 2628 3096 3139 4766 5256 6278 7149 9417 9532 12556 14298 18834 19064 21447 25112 28251 28596 37668 42894 56502 57192 75336 85788 102469 113004 171576 173959 204938 226008 307407 347918 409876 521877 614814 695836 819752 922221 1043754 1229628 1391672 1565631 1844442 2087508 2459256 3131262 3688884 4175016 6262524 7377768 7480237 12525048 14960474 22440711 29920948 44881422 59841896 67322133 89762844 134644266 179525688 269288532 538577064