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5297136 = 243132653
BaseRepresentation
bin10100001101001111110000
3100222010022020
4110031033300
52324002021
6305311440
763011355
oct24151760
910863266
105297136
112a988a9
121935580
131136100
149bc62c
156e97c6
hex50d3f0

5297136 has 60 divisors (see below), whose sum is σ = 14840568. Its totient is φ = 1627392.

The previous prime is 5297129. The next prime is 5297137. The reversal of 5297136 is 6317925.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 5297097 and 5297106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5297137) 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 11 ways as a sum of consecutive naturals, for example, 7786 + ... + 8438.

Almost surely, 25297136 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 5297136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7420284).

5297136 is an abundant number, since it is smaller than the sum of its proper divisors (9543432).

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

5297136 is a wasteful number, since it uses less digits than its factorization.

5297136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 690 (or 671 counting only the distinct ones).

The product of its digits is 11340, while the sum is 33.

The square root of 5297136 is about 2301.5507815384. The cubic root of 5297136 is about 174.3199292957.

The spelling of 5297136 in words is "five million, two hundred ninety-seven thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 169 208 312 338 507 624 653 676 1014 1306 1352 1959 2028 2612 2704 3918 4056 5224 7836 8112 8489 10448 15672 16978 25467 31344 33956 50934 67912 101868 110357 135824 203736 220714 331071 407472 441428 662142 882856 1324284 1765712 2648568 5297136