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5200096 = 251121779
BaseRepresentation
bin10011110101100011100000
3100210012012011
4103311203200
52312400341
6303242304
762125426
oct23654340
910705164
105200096
112a31a00
1218a9394
131100ba5
14995116
156cab81
hex4f58e0

5200096 has 72 divisors (see below), whose sum is σ = 12065760. Its totient is φ = 2196480.

The previous prime is 5200081. The next prime is 5200099. The reversal of 5200096 is 6900025.

5200096 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5200099) 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, 65785 + ... + 65863.

It is an arithmetic number, because the mean of its divisors is an integer number (167580).

Almost surely, 25200096 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 5200096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6032880).

5200096 is an abundant number, since it is smaller than the sum of its proper divisors (6865664).

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

5200096 is a wasteful number, since it uses less digits than its factorization.

5200096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 22.

The square root of 5200096 is about 2280.3718994936. The cubic root of 5200096 is about 173.2488872021.

Adding to 5200096 its reverse (6900025), we get a palindrome (12100121).

The spelling of 5200096 in words is "five million, two hundred thousand, ninety-six".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 68 79 88 121 136 158 176 187 242 272 316 352 374 484 544 632 748 869 968 1264 1343 1496 1738 1936 2057 2528 2686 2992 3476 3872 4114 5372 5984 6952 8228 9559 10744 13904 14773 16456 19118 21488 27808 29546 32912 38236 42976 59092 65824 76472 118184 152944 162503 236368 305888 325006 472736 650012 1300024 2600048 5200096