Search a number
-
+
557203440 = 24353536577
BaseRepresentation
bin100001001101100…
…011111111110000
31102211110212102110
4201031203333300
52120121002230
6131142445320
716544102553
oct4115437760
91384425373
10557203440
11266588212
12136733840
138b5931a1
145400669a
1533db74b0
hex21363ff0

557203440 has 80 divisors (see below), whose sum is σ = 1732487328. Its totient is φ = 148144128.

The previous prime is 557203429. The next prime is 557203447. The reversal of 557203440 is 44302755.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 557203398 and 557203407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (557203447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81432 + ... + 88008.

Almost surely, 2557203440 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 557203440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (866243664).

557203440 is an abundant number, since it is smaller than the sum of its proper divisors (1175283888).

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

557203440 is a wasteful number, since it uses less digits than its factorization.

557203440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6946 (or 6940 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 30.

The square root of 557203440 is about 23605.1570636588. The cubic root of 557203440 is about 822.8826956213.

The spelling of 557203440 in words is "five hundred fifty-seven million, two hundred three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 353 706 1059 1412 1765 2118 2824 3530 4236 5295 5648 6577 7060 8472 10590 13154 14120 16944 19731 21180 26308 28240 32885 39462 42360 52616 65770 78924 84720 98655 105232 131540 157848 197310 263080 315696 394620 526160 789240 1578480 2321681 4643362 6965043 9286724 11608405 13930086 18573448 23216810 27860172 34825215 37146896 46433620 55720344 69650430 92867240 111440688 139300860 185734480 278601720 557203440