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5309604 = 2233211233
BaseRepresentation
bin10100010000010010100100
3100222202102000
4110100102210
52324401404
6305445300
763062616
oct24202244
910882360
105309604
112aa7203
121940830
13113b9a1
149c2db6
156ed339
hex5104a4

5309604 has 48 divisors (see below), whose sum is σ = 13890240. Its totient is φ = 1753920.

The previous prime is 5309599. The next prime is 5309659. The reversal of 5309604 is 4069035.

It is a happy number.

5309604 is a `hidden beast` number, since 53 + 0 + 9 + 604 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22672 + ... + 22904.

It is an arithmetic number, because the mean of its divisors is an integer number (289380).

Almost surely, 25309604 is an apocalyptic number.

5309604 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 5309604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6945120).

5309604 is an abundant number, since it is smaller than the sum of its proper divisors (8580636).

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

5309604 is a wasteful number, since it uses less digits than its factorization.

5309604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 5309604 is about 2304.2577980773. The cubic root of 5309604 is about 174.4565891747.

The spelling of 5309604 in words is "five million, three hundred nine thousand, six hundred four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 211 233 422 466 633 699 844 932 1266 1398 1899 2097 2532 2796 3798 4194 5697 6291 7596 8388 11394 12582 22788 25164 49163 98326 147489 196652 294978 442467 589956 884934 1327401 1769868 2654802 5309604