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5585104 = 247471061
BaseRepresentation
bin10101010011100011010000
3101111202022201
4111103203100
52412210404
6315412544
765321050
oct25234320
911452281
105585104
113175198
121a54154
1312071c5
14a55560
15754ca4
hex5538d0

5585104 has 40 divisors (see below), whose sum is σ = 12642048. Its totient is φ = 2340480.

The previous prime is 5585089. The next prime is 5585119. The reversal of 5585104 is 4015855.

It is an interprime number because it is at equal distance from previous prime (5585089) and next prime (5585119).

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4734 + ... + 5794.

Almost surely, 25585104 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 5585104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6321024).

5585104 is an abundant number, since it is smaller than the sum of its proper divisors (7056944).

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

5585104 is a wasteful number, since it uses less digits than its factorization.

5585104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1123 (or 1117 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 28.

The square root of 5585104 is about 2363.2824630162. The cubic root of 5585104 is about 177.4232055555.

The spelling of 5585104 in words is "five million, five hundred eighty-five thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 28 47 56 94 112 188 329 376 658 752 1061 1316 2122 2632 4244 5264 7427 8488 14854 16976 29708 49867 59416 99734 118832 199468 349069 398936 698138 797872 1396276 2792552 5585104