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5282604 = 2233411193
BaseRepresentation
bin10100001001101100101100
3100221101101000
4110021230230
52323020404
6305120300
762621115
oct24115454
910841330
105282604
112a88998
121929090
13112c602
149b720c
156e5339
hex509b2c

5282604 has 48 divisors (see below), whose sum is σ = 14041440. Its totient is φ = 1716480.

The previous prime is 5282587. The next prime is 5282609. The reversal of 5282604 is 4062825.

5282604 is a `hidden beast` number, since 52 + 8 + 2 + 604 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (5282609) 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, 3832 + ... + 5024.

It is an arithmetic number, because the mean of its divisors is an integer number (292530).

Almost surely, 25282604 is an apocalyptic number.

5282604 is a gapful number since it is divisible by the number (54) 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 5282604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7020720).

5282604 is an abundant number, since it is smaller than the sum of its proper divisors (8758836).

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

5282604 is a wasteful number, since it uses less digits than its factorization.

5282604 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1247 (or 1239 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 5282604 is about 2298.3916115406. The cubic root of 5282604 is about 174.1603753238.

It can be divided in two parts, 5282 and 604, that added together give a triangular number (5886 = T108).

The spelling of 5282604 in words is "five million, two hundred eighty-two thousand, six hundred four".

Divisors: 1 2 3 4 6 9 12 18 27 36 41 54 82 108 123 164 246 369 492 738 1107 1193 1476 2214 2386 3579 4428 4772 7158 10737 14316 21474 32211 42948 48913 64422 97826 128844 146739 195652 293478 440217 586956 880434 1320651 1760868 2641302 5282604