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557163672 = 2331310117681
BaseRepresentation
bin100001001101011…
…010010010011000
31102211101211212120
4201031122102120
52120113214142
6131141541240
716543545612
oct4115322230
91384354776
10557163672
1126656034a
12136714820
138b57b060
1453dd5db2
1533daa7ec
hex2135a498

557163672 has 64 divisors (see below), whose sum is σ = 1514993760. Its totient is φ = 169728000.

The previous prime is 557163647. The next prime is 557163697. The reversal of 557163672 is 276361755.

It is an interprime number because it is at equal distance from previous prime (557163647) and next prime (557163697).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22672 + ... + 40352.

Almost surely, 2557163672 is an apocalyptic number.

557163672 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 557163672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (757496880).

557163672 is an abundant number, since it is smaller than the sum of its proper divisors (957830088).

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

557163672 is a wasteful number, since it uses less digits than its factorization.

557163672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17804 (or 17800 counting only the distinct ones).

The product of its digits is 264600, while the sum is 42.

The square root of 557163672 is about 23604.3146903273. The cubic root of 557163672 is about 822.8631185840.

The spelling of 557163672 in words is "five hundred fifty-seven million, one hundred sixty-three thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 101 104 156 202 303 312 404 606 808 1212 1313 2424 2626 3939 5252 7878 10504 15756 17681 31512 35362 53043 70724 106086 141448 212172 229853 424344 459706 689559 919412 1379118 1785781 1838824 2758236 3571562 5357343 5516472 7143124 10714686 14286248 21429372 23215153 42858744 46430306 69645459 92860612 139290918 185721224 278581836 557163672