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57078021 = 37111383229
BaseRepresentation
bin1101100110111…
…1000100000101
310222101212022210
43121233010011
5104102444041
65355214033
71262104140
oct331570405
9128355283
1057078021
112a245620
1217147319
13ba95ca0
14781b057
155027016
hex366f105

57078021 has 64 divisors (see below), whose sum is σ = 103864320. Its totient is φ = 26922240.

The previous prime is 57078017. The next prime is 57078023. The reversal of 57078021 is 12087075.

It is a happy number.

57078021 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 57078021 - 22 = 57078017 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 57078021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57078023) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 249135 + ... + 249363.

It is an arithmetic number, because the mean of its divisors is an integer number (1622880).

Almost surely, 257078021 is an apocalyptic number.

It is an amenable number.

57078021 is a deficient number, since it is larger than the sum of its proper divisors (46786299).

57078021 is a wasteful number, since it uses less digits than its factorization.

57078021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346.

The product of its (nonzero) digits is 3920, while the sum is 30.

The square root of 57078021 is about 7554.9997352746. Note that the first 3 decimals coincide. The cubic root of 57078021 is about 385.0256259999.

The spelling of 57078021 in words is "fifty-seven million, seventy-eight thousand, twenty-one".

Divisors: 1 3 7 11 13 21 33 39 77 83 91 143 229 231 249 273 429 581 687 913 1001 1079 1603 1743 2519 2739 2977 3003 3237 4809 6391 7553 7557 8931 11869 17633 19007 19173 20839 22659 32747 35607 52899 57021 62517 83083 98241 133049 209077 229229 247091 249249 399147 627231 687687 741273 1463539 1729637 2718001 4390617 5188911 8154003 19026007 57078021