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557363260 = 225318310831
BaseRepresentation
bin100001001110001…
…011000000111100
31102211202222122201
4201032023000330
52120141111020
6131150121244
716545336526
oct4116130074
91384688581
10557363260
112666872a3
121367b0224
138b61ab5c
1454048a16
1533de9a0a
hex2138b03c

557363260 has 48 divisors (see below), whose sum is σ = 1222889472. Its totient is φ = 213134400.

The previous prime is 557363243. The next prime is 557363263. The reversal of 557363260 is 62363755.

It is a happy number.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (557363263) 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, 46045 + ... + 56875.

It is an arithmetic number, because the mean of its divisors is an integer number (25476864).

Almost surely, 2557363260 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 557363260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (611444736).

557363260 is an abundant number, since it is smaller than the sum of its proper divisors (665526212).

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

557363260 is a wasteful number, since it uses less digits than its factorization.

557363260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10954 (or 10952 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 37.

The square root of 557363260 is about 23608.5420981474. The cubic root of 557363260 is about 822.9613626043.

It can be divided in two parts, 55736 and 3260, that added together give a triangular number (58996 = T343).

The spelling of 557363260 in words is "five hundred fifty-seven million, three hundred sixty-three thousand, two hundred sixty".

Divisors: 1 2 4 5 10 20 31 62 83 124 155 166 310 332 415 620 830 1660 2573 5146 10292 10831 12865 21662 25730 43324 51460 54155 108310 216620 335761 671522 898973 1343044 1678805 1797946 3357610 3595892 4494865 6715220 8989730 17979460 27868163 55736326 111472652 139340815 278681630 557363260