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558056144 = 241719831301
BaseRepresentation
bin100001010000110…
…100001011010000
31102220002012010002
4201100310023100
52120330244034
6131213025132
716554253562
oct4120641320
91386065102
10558056144
1126700a928
12136a851a8
138b801349
1454189332
1533ed4e7e
hex214342d0

558056144 has 80 divisors (see below), whose sum is σ = 1220546880. Its totient is φ = 245606400.

The previous prime is 558056143. The next prime is 558056159. The reversal of 558056144 is 441650855.

It is a happy number.

It is a super-2 number, since 2×5580561442 = 622853319712297472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 558056098 and 558056107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (558056143) 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, 428294 + ... + 429594.

It is an arithmetic number, because the mean of its divisors is an integer number (15256836).

Almost surely, 2558056144 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 558056144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (610273440).

558056144 is an abundant number, since it is smaller than the sum of its proper divisors (662490736).

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

558056144 is a wasteful number, since it uses less digits than its factorization.

558056144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1428 (or 1422 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 38.

The square root of 558056144 is about 23623.2119746659. The cubic root of 558056144 is about 823.3022418101.

The spelling of 558056144 in words is "five hundred fifty-eight million, fifty-six thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 17 19 34 38 68 76 83 136 152 166 272 304 323 332 646 664 1292 1301 1328 1411 1577 2584 2602 2822 3154 5168 5204 5644 6308 10408 11288 12616 20816 22117 22576 24719 25232 26809 44234 49438 53618 88468 98876 107236 107983 176936 197752 214472 215966 353872 395504 420223 428944 431932 840446 863864 1680892 1727728 1835711 2051677 3361784 3671422 4103354 6723568 7342844 8206708 14685688 16413416 29371376 32826832 34878509 69757018 139514036 279028072 558056144