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5147296 = 257112089
BaseRepresentation
bin10011101000101010100000
3100200111202121
4103220222200
52304203141
6302154024
761515460
oct23505240
910614677
105147296
1129a6270
121882914
1310b2b4b
1497dba0
156ba1d1
hex4e8aa0

5147296 has 48 divisors (see below), whose sum is σ = 12640320. Its totient is φ = 2004480.

The previous prime is 5147293. The next prime is 5147323. The reversal of 5147296 is 6927415.

5147296 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×51472962 = 52989312223232, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5147291) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1420 + ... + 3508.

It is an arithmetic number, because the mean of its divisors is an integer number (263340).

Almost surely, 25147296 is an apocalyptic number.

5147296 is a gapful number since it is divisible by the number (56) 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 5147296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6320160).

5147296 is an abundant number, since it is smaller than the sum of its proper divisors (7493024).

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

5147296 is a wasteful number, since it uses less digits than its factorization.

5147296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2117 (or 2109 counting only the distinct ones).

The product of its digits is 15120, while the sum is 34.

The square root of 5147296 is about 2268.7653029787. The cubic root of 5147296 is about 172.6605213067.

The spelling of 5147296 in words is "five million, one hundred forty-seven thousand, two hundred ninety-six".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 77 88 112 154 176 224 308 352 616 1232 2089 2464 4178 8356 14623 16712 22979 29246 33424 45958 58492 66848 91916 116984 160853 183832 233968 321706 367664 467936 643412 735328 1286824 2573648 5147296