Search a number
-
+
57288116 = 22191495059
BaseRepresentation
bin1101101010001…
…0010110110100
310222210112112002
43122202112310
5104131204431
65403514432
71263640514
oct332422664
9128715462
1057288116
112a379456
1217228a18
13bb3a7c2
147873844
1550693cb
hex36a25b4

57288116 has 24 divisors (see below), whose sum is σ = 106260000. Its totient is φ = 26949024.

The previous prime is 57288107. The next prime is 57288131. The reversal of 57288116 is 61188275.

57288116 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a self number, because there is not a number n which added to its sum of digits gives 57288116.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8795 + ... + 13853.

It is an arithmetic number, because the mean of its divisors is an integer number (4427500).

Almost surely, 257288116 is an apocalyptic number.

It is an amenable number.

57288116 is a deficient number, since it is larger than the sum of its proper divisors (48971884).

57288116 is a wasteful number, since it uses less digits than its factorization.

57288116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5231 (or 5229 counting only the distinct ones).

The product of its digits is 26880, while the sum is 38.

The square root of 57288116 is about 7568.8913322890. The cubic root of 57288116 is about 385.4974533329.

It can be divided in two parts, 572 and 88116, that added together give a palindrome (88688).

The spelling of 57288116 in words is "fifty-seven million, two hundred eighty-eight thousand, one hundred sixteen".

Divisors: 1 2 4 19 38 76 149 298 596 2831 5059 5662 10118 11324 20236 96121 192242 384484 753791 1507582 3015164 14322029 28644058 57288116