Search a number
-
+
57379652 = 221121031151
BaseRepresentation
bin1101101011100…
…0101101000100
310222222012002022
43122320231010
5104142122102
65405502312
71264501421
oct332705504
9128865068
1057379652
112a431200
1217271998
13bb70375
147898d48
1550865a2
hex36b8b44

57379652 has 36 divisors (see below), whose sum is σ = 111541248. Its totient is φ = 25806000.

The previous prime is 57379649. The next prime is 57379657. The reversal of 57379652 is 25697375.

57379652 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×573796522 = 6584848927282208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (57379657) 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 11 ways as a sum of consecutive naturals, for example, 49277 + ... + 50427.

It is an arithmetic number, because the mean of its divisors is an integer number (3098368).

Almost surely, 257379652 is an apocalyptic number.

It is an amenable number.

57379652 is a deficient number, since it is larger than the sum of its proper divisors (54161596).

57379652 is a wasteful number, since it uses less digits than its factorization.

57379652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1280 (or 1267 counting only the distinct ones).

The product of its digits is 396900, while the sum is 44.

The square root of 57379652 is about 7574.9357753053. The cubic root of 57379652 is about 385.7026623710.

The spelling of 57379652 in words is "fifty-seven million, three hundred seventy-nine thousand, six hundred fifty-two".

Divisors: 1 2 4 11 22 44 103 121 206 242 412 484 1133 1151 2266 2302 4532 4604 12463 12661 24926 25322 49852 50644 118553 139271 237106 278542 474212 557084 1304083 2608166 5216332 14344913 28689826 57379652