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5306304 = 26329953
BaseRepresentation
bin10100001111011111000000
3100222120212210
4110033133000
52324300204
6305422120
763050163
oct24173700
910876783
105306304
112aa4783
12193a940
13113a333
149c1ada
156ec389
hex50f7c0

5306304 has 56 divisors (see below), whose sum is σ = 14538960. Its totient is φ = 1705984.

The previous prime is 5306293. The next prime is 5306309. The reversal of 5306304 is 4036035.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5306309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5092 + ... + 6044.

Almost surely, 25306304 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 5306304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7269480).

5306304 is an abundant number, since it is smaller than the sum of its proper divisors (9232656).

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

5306304 is a wasteful number, since it uses less digits than its factorization.

5306304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 997 (or 987 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 21.

The square root of 5306304 is about 2303.5416210696. The cubic root of 5306304 is about 174.4204392059.

The spelling of 5306304 in words is "five million, three hundred six thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 174 192 232 348 464 696 928 953 1392 1856 1906 2784 2859 3812 5568 5718 7624 11436 15248 22872 27637 30496 45744 55274 60992 82911 91488 110548 165822 182976 221096 331644 442192 663288 884384 1326576 1768768 2653152 5306304