Search a number
-
+
57287356 = 22719257419
BaseRepresentation
bin1101101010001…
…0001010111100
310222210111110221
43122202022330
5104131143411
65403511124
71263635350
oct332421274
9128714427
1057287356
112a378925
12172284a4
13bb3a359
147873460
155069071
hex36a22bc

57287356 has 48 divisors (see below), whose sum is σ = 121363200. Its totient is φ = 23113728.

The previous prime is 57287353. The next prime is 57287369. The reversal of 57287356 is 65378275.

57287356 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57287353) 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 15 ways as a sum of consecutive naturals, for example, 136515 + ... + 136933.

It is an arithmetic number, because the mean of its divisors is an integer number (2528400).

Almost surely, 257287356 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 57287356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60681600).

57287356 is an abundant number, since it is smaller than the sum of its proper divisors (64075844).

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

57287356 is a wasteful number, since it uses less digits than its factorization.

57287356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 706 (or 704 counting only the distinct ones).

The product of its digits is 352800, while the sum is 43.

The square root of 57287356 is about 7568.8411266191. The cubic root of 57287356 is about 385.4957486201.

The spelling of 57287356 in words is "fifty-seven million, two hundred eighty-seven thousand, three hundred fifty-six".

Divisors: 1 2 4 7 14 19 28 38 76 133 257 266 419 514 532 838 1028 1676 1799 2933 3598 4883 5866 7196 7961 9766 11732 15922 19532 31844 34181 55727 68362 107683 111454 136724 215366 222908 430732 753781 1507562 2045977 3015124 4091954 8183908 14321839 28643678 57287356