Search a number
-
+
57261568 = 297131229
BaseRepresentation
bin1101101001101…
…1111000000000
310222202012002211
43122123320000
5104124332233
65403151504
71263500230
oct332337000
9128665084
1057261568
112a360511
1217215594
13bb2b6b0
147867cc0
1550615cd
hex369be00

57261568 has 80 divisors (see below), whose sum is σ = 140928480. Its totient is φ = 22634496.

The previous prime is 57261553. The next prime is 57261569. The reversal of 57261568 is 86516275.

It is a self number, because there is not a number n which added to its sum of digits gives 57261568.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57261569) 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, 45978 + ... + 47206.

It is an arithmetic number, because the mean of its divisors is an integer number (1761606).

Almost surely, 257261568 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 57261568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70464240).

57261568 is an abundant number, since it is smaller than the sum of its proper divisors (83666912).

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

57261568 is a wasteful number, since it uses less digits than its factorization.

57261568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1267 (or 1251 counting only the distinct ones).

The product of its digits is 100800, while the sum is 40.

The square root of 57261568 is about 7567.1373715560. The cubic root of 57261568 is about 385.4378960844.

The spelling of 57261568 in words is "fifty-seven million, two hundred sixty-one thousand, five hundred sixty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 128 182 208 224 256 364 416 448 512 728 832 896 1229 1456 1664 1792 2458 2912 3328 3584 4916 5824 6656 8603 9832 11648 15977 17206 19664 23296 31954 34412 39328 46592 63908 68824 78656 111839 127816 137648 157312 223678 255632 275296 314624 447356 511264 550592 629248 894712 1022528 1101184 1789424 2045056 2202368 3578848 4090112 4404736 7157696 8180224 14315392 28630784 57261568