Search a number
-
+
557486272 = 2671737193
BaseRepresentation
bin100001001110101…
…001000011000000
31102212000020101201
4201032221003000
52120204030042
6131152510544
716546361260
oct4116510300
91385006351
10557486272
11266760762
1213684b454
138b661b45
145407b7a0
1533e211b7
hex213a90c0

557486272 has 56 divisors (see below), whose sum is σ = 1271784096. Its totient is φ = 237508608.

The previous prime is 557486233. The next prime is 557486273. The reversal of 557486272 is 272684755.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-3 number, since 3×5574862723 (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (557486273) 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, 73908 + ... + 81100.

Almost surely, 2557486272 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 557486272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (635892048).

557486272 is an abundant number, since it is smaller than the sum of its proper divisors (714297824).

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

557486272 is a wasteful number, since it uses less digits than its factorization.

557486272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7385 (or 7375 counting only the distinct ones).

The product of its digits is 940800, while the sum is 46.

The square root of 557486272 is about 23611.1471978809. The cubic root of 557486272 is about 823.0219016242.

The spelling of 557486272 in words is "five hundred fifty-seven million, four hundred eighty-six thousand, two hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 173 224 346 448 692 1211 1384 2422 2768 4844 5536 7193 9688 11072 14386 19376 28772 38752 50351 57544 77504 100702 115088 201404 230176 402808 460352 805616 1244389 1611232 2488778 3222464 4977556 8710723 9955112 17421446 19910224 34842892 39820448 69685784 79640896 139371568 278743136 557486272