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5112096 = 2531147103
BaseRepresentation
bin10011100000000100100000
3100121201110220
4103200010200
52302041341
6301323040
761311033
oct23400440
910551426
105112096
112981880
121866480
13109cb12
1497101a
156aea66
hex4e0120

5112096 has 96 divisors (see below), whose sum is σ = 15095808. Its totient is φ = 1501440.

The previous prime is 5112089. The next prime is 5112097. The reversal of 5112096 is 6902115.

5112096 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×51120962 = 52267051026432, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (5112097) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49581 + ... + 49683.

It is an arithmetic number, because the mean of its divisors is an integer number (157248).

Almost surely, 25112096 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 5112096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7547904).

5112096 is an abundant number, since it is smaller than the sum of its proper divisors (9983712).

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

5112096 is a wasteful number, since it uses less digits than its factorization.

5112096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 24.

The square root of 5112096 is about 2260.9944714660. The cubic root of 5112096 is about 172.2660386298.

It can be divided in two parts, 5 and 112096, that added together give a triangular number (112101 = T473).

The spelling of 5112096 in words is "five million, one hundred twelve thousand, ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 47 48 66 88 94 96 103 132 141 176 188 206 264 282 309 352 376 412 517 528 564 618 752 824 1034 1056 1128 1133 1236 1504 1551 1648 2068 2256 2266 2472 3102 3296 3399 4136 4512 4532 4841 4944 6204 6798 8272 9064 9682 9888 12408 13596 14523 16544 18128 19364 24816 27192 29046 36256 38728 49632 53251 54384 58092 77456 106502 108768 116184 154912 159753 213004 232368 319506 426008 464736 639012 852016 1278024 1704032 2556048 5112096