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557995984 = 247131792141
BaseRepresentation
bin100001010000100…
…101011111010000
31102212222010120221
4201100211133100
52120321332414
6131211442424
716553613310
oct4120453720
91385863527
10557995984
11266a79707
12136a56414
138b7acb50
1454171440
1533ec2224
hex214257d0

557995984 has 80 divisors (see below), whose sum is σ = 1338664320. Its totient is φ = 219409920.

The previous prime is 557995979. The next prime is 557996017. The reversal of 557995984 is 489599755.

It is a super-2 number, since 2×5579959842 = 622719036320256512, which contains 22 as substring.

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, 259554 + ... + 261694.

It is an arithmetic number, because the mean of its divisors is an integer number (16733304).

Almost surely, 2557995984 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 557995984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (669332160).

557995984 is an abundant number, since it is smaller than the sum of its proper divisors (780668336).

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

557995984 is a wasteful number, since it uses less digits than its factorization.

557995984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2348 (or 2342 counting only the distinct ones).

The product of its digits is 20412000, while the sum is 61.

The square root of 557995984 is about 23621.9386164641. The cubic root of 557995984 is about 823.2726559919.

The spelling of 557995984 in words is "five hundred fifty-seven million, nine hundred ninety-five thousand, nine hundred eighty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 91 104 112 179 182 208 358 364 716 728 1253 1432 1456 2141 2327 2506 2864 4282 4654 5012 8564 9308 10024 14987 16289 17128 18616 20048 27833 29974 32578 34256 37232 55666 59948 65156 111332 119896 130312 194831 222664 239792 260624 383239 389662 445328 766478 779324 1532956 1558648 2682673 3065912 3117296 4982107 5365346 6131824 9964214 10730692 19928428 21461384 34874749 39856856 42922768 69749498 79713712 139498996 278997992 557995984