Search a number
-
+
5296608 = 253253347
BaseRepresentation
bin10100001101000111100000
3100222002120200
4110031013200
52323442413
6305305200
763010002
oct24150740
910862520
105296608
112a98469
121935200
131135ab5
149bc372
156e9573
hex50d1e0

5296608 has 72 divisors (see below), whose sum is σ = 15390648. Its totient is φ = 1727232.

The previous prime is 5296597. The next prime is 5296609. The reversal of 5296608 is 8066925.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5296609) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15091 + ... + 15437.

It is an arithmetic number, because the mean of its divisors is an integer number (213759).

Almost surely, 25296608 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 5296608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7695324).

5296608 is an abundant number, since it is smaller than the sum of its proper divisors (10094040).

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

5296608 is a wasteful number, since it uses less digits than its factorization.

5296608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 5296608 is about 2301.4360734116. The cubic root of 5296608 is about 174.3141372362.

The spelling of 5296608 in words is "five million, two hundred ninety-six thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 53 72 96 106 144 159 212 288 318 347 424 477 636 694 848 954 1041 1272 1388 1696 1908 2082 2544 2776 3123 3816 4164 5088 5552 6246 7632 8328 11104 12492 15264 16656 18391 24984 33312 36782 49968 55173 73564 99936 110346 147128 165519 220692 294256 331038 441384 588512 662076 882768 1324152 1765536 2648304 5296608