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52755768 = 233213157359
BaseRepresentation
bin1100100100111…
…1110100111000
310200021021022100
43021033310320
5102001141033
65122423400
71210262622
oct311176470
9120237270
1052755768
112786320a
1215801b60
13ac11840
147013c12
154971513
hex324fd38

52755768 has 96 divisors (see below), whose sum is σ = 155282400. Its totient is φ = 16084224.

The previous prime is 52755763. The next prime is 52755803. The reversal of 52755768 is 86755725.

52755768 is a `hidden beast` number, since 5 + 2 + 75 + 576 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52755763) 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, 146773 + ... + 147131.

It is an arithmetic number, because the mean of its divisors is an integer number (1617525).

Almost surely, 252755768 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 52755768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77641200).

52755768 is an abundant number, since it is smaller than the sum of its proper divisors (102526632).

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

52755768 is a wasteful number, since it uses less digits than its factorization.

52755768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 541 (or 534 counting only the distinct ones).

The product of its digits is 588000, while the sum is 45.

The square root of 52755768 is about 7263.3165978085. The cubic root of 52755768 is about 375.0507024777.

The spelling of 52755768 in words is "fifty-two million, seven hundred fifty-five thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 157 234 312 314 359 468 471 628 718 936 942 1077 1256 1413 1436 1884 2041 2154 2826 2872 3231 3768 4082 4308 4667 5652 6123 6462 8164 8616 9334 11304 12246 12924 14001 16328 18369 18668 24492 25848 28002 36738 37336 42003 48984 56004 56363 73476 84006 112008 112726 146952 168012 169089 225452 336024 338178 450904 507267 676356 732719 1014534 1352712 1465438 2029068 2198157 2930876 4058136 4396314 5861752 6594471 8792628 13188942 17585256 26377884 52755768