Search a number
-
+
52814288 = 2453611021
BaseRepresentation
bin1100100101111…
…0000111010000
310200101020120202
43021132013100
5102010024123
65123554332
71210625342
oct311360720
9120336522
1052814288
11278a317a
121582b9a8
13ac32377
14702b292
154983a28
hex325e1d0

52814288 has 40 divisors (see below), whose sum is σ = 106071336. Its totient is φ = 25459200.

The previous prime is 52814287. The next prime is 52814317. The reversal of 52814288 is 88241825.

It can be written as a sum of positive squares in 4 ways, for example, as 3139984 + 49674304 = 1772^2 + 7048^2 .

It is a super-4 number, since 4×528142884 (a number of 32 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52814287) 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, 51218 + ... + 52238.

Almost surely, 252814288 is an apocalyptic number.

It is an amenable number.

52814288 is an abundant number, since it is smaller than the sum of its proper divisors (53257048).

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

52814288 is a wasteful number, since it uses less digits than its factorization.

52814288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1143 (or 1137 counting only the distinct ones).

The product of its digits is 40960, while the sum is 38.

The square root of 52814288 is about 7267.3439439729. The cubic root of 52814288 is about 375.1893278046.

The spelling of 52814288 in words is "fifty-two million, eight hundred fourteen thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 16 53 61 106 122 212 244 424 488 848 976 1021 2042 3233 4084 6466 8168 12932 16336 25864 51728 54113 62281 108226 124562 216452 249124 432904 498248 865808 996496 3300893 6601786 13203572 26407144 52814288