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5558000 = 24537397
BaseRepresentation
bin10101001100111011110000
3101110101010212
4111030323300
52410324000
6315043252
765146040
oct25147360
911411125
105558000
113156898
121a40528
1311c7a76
14a49720
1574bc35
hex54cef0

5558000 has 80 divisors (see below), whose sum is σ = 15397824. Its totient is φ = 1900800.

The previous prime is 5557999. The next prime is 5558009. The reversal of 5558000 is 8555.

It is a happy number.

5558000 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×55580003 (a number of 21 digits) contains 333 as substring.

5558000 is strictly pandigital in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5558009) 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, 13802 + ... + 14198.

Almost surely, 25558000 is an apocalyptic number.

5558000 is a gapful number since it is divisible by the number (50) 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 5558000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7698912).

5558000 is an abundant number, since it is smaller than the sum of its proper divisors (9839824).

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

5558000 is a wasteful number, since it uses less digits than its factorization.

5558000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 1000, while the sum is 23.

The square root of 5558000 is about 2357.5410919006. The cubic root of 5558000 is about 177.1357338199.

The spelling of 5558000 in words is "five million, five hundred fifty-eight thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 125 140 175 200 250 280 350 397 400 500 560 700 794 875 1000 1400 1588 1750 1985 2000 2779 2800 3176 3500 3970 5558 6352 7000 7940 9925 11116 13895 14000 15880 19850 22232 27790 31760 39700 44464 49625 55580 69475 79400 99250 111160 138950 158800 198500 222320 277900 347375 397000 555800 694750 794000 1111600 1389500 2779000 5558000