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557259340 = 2251113918223
BaseRepresentation
bin100001001101110…
…001101001001100
31102211120201002211
4201031301221030
52120124244330
6131144000204
716544424541
oct4115615114
91384521084
10557259340
11266616210
12136760064
138b5b2771
145401cbc8
1533dc8d2a
hex21371a4c

557259340 has 48 divisors (see below), whose sum is σ = 1285885440. Its totient is φ = 201170880.

The previous prime is 557259323. The next prime is 557259359. The reversal of 557259340 is 43952755.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 557259293 and 557259302.

It is an unprimeable number.

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, 21469 + ... + 39691.

It is an arithmetic number, because the mean of its divisors is an integer number (26789280).

Almost surely, 2557259340 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 557259340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (642942720).

557259340 is an abundant number, since it is smaller than the sum of its proper divisors (728626100).

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

557259340 is a wasteful number, since it uses less digits than its factorization.

557259340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18382 (or 18380 counting only the distinct ones).

The product of its (nonzero) digits is 189000, while the sum is 40.

The square root of 557259340 is about 23606.3410972561. The cubic root of 557259340 is about 822.9102125635.

The spelling of 557259340 in words is "five hundred fifty-seven million, two hundred fifty-nine thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 139 220 278 556 695 1390 1529 2780 3058 6116 7645 15290 18223 30580 36446 72892 91115 182230 200453 364460 400906 801812 1002265 2004530 2532997 4009060 5065994 10131988 12664985 25329970 27862967 50659940 55725934 111451868 139314835 278629670 557259340